Angular kinematics. com/vlt4frjaf5/hammock-chair-with-stand,-outdoor.

67 r a d s 2. It explains how to solve rotational kinematic problems using a few sim Kinematics Examples. Solution for (b) We expect the angular acceleration for the system to be less in this part, because the moment of inertia is greater when the child is on the merry-go-round. ω (rad/s) device, event, phenomenon, process. Angular Displacement. Linear motion variables are measured in units of length, whereas May 13, 2021 · The angular velocity - omega of the object is the change of angle with respect to time. So the sum of the forces should be zero ⁄ =0 . Using rotational kinematic formulas. If an object is rotating about Oct 16, 2021 · Angular or rotational motion is an important part of kinematics in physics. Add these two areas up and you don't get zero, you get…. v f 2 = v 0 2 + 2 a ( Δ x) v f 2 = v 0 2 + 2 a ( Δ x) Table 10. 6: One Dimensional Kinematics and Integration. If the angular acceleration is constant, the equations of rotational kinematics simplify, similar to the equations of linear kinematics discussed in Motion along a Straight Line and Motion in Two and Three Dimensions. angular displacement *θ = average angular velocity x time * t radians = radians/s = s angular velocity ω = initial angular velocity * + ang. Choosing kinematic equations. Sep 12, 2022 · If the angular acceleration is constant, the equations of rotational kinematics simplify, similar to the equations of linear kinematics discussed in Motion along a Straight Line and Motion in Two and Three Dimensions. 5. Linear velocity v and angular velocity ω are related by. 4) v = v 0 + a t. Dynamics is general, since the momenta, forces and energy of the particles are taken into account. She arrives at a point 40 m downstream from the point directly across the river, which is 80 m wide. Kinematics is the study of how objects move. a = uniform acceleration. Solution to Question 1. Define arc length, rotation angle, radius of curvature and angular velocity. The fifth kinematic equation looks just like the third kinematic equation Δ x = v 0 t + 1 2 a t 2 ‍ except with the initial velocity v 0 ‍ replaced with final velocity v ‍ and the plus sign replaced with a minus sign. The SI unit of angular acceleration is radians per second squared or rad/s 2. Therefore, x = Rθ (9. 11. For the z-component we have ω zf = ω zi + α z Δt. Let us start by finding an equation relating ω ω size 12{ω} {} , α α size 12{α} {} , and t t size 12{t} {} . Kinematics is the branch of classical mechanics that describes the motion of points, objects and systems of groups of objects, without reference to the causes of motion (i. The angular displacement (symbol θ, ϑ, or φ) – also called angle of rotation, rotational displacement, or rotary displacement – of a physical body is the angle (in units of radians, degrees, turns, etc. In addition, from these basic equations, other kinematic equations can be derived or coupled to solve more difficult problems. 67rad s2. Feb 20, 2022 · α = τ I = 375N ⋅ m 56. Let us start by finding an equation relating ω ω , α α , and t t . Angular acceleration is measured in radians per second square. So the kinematics equations of linear motion with uniform acceleration is, v = v 0 + at. laserdisc, standard play: 1800/1500 rpm. Let us start by finding an equation relating [Math Processing Error] ω, α, and [Math Processing Error] t. , forces ). Now available with Task Tracker compatibility. Two-Dimensional Kinematics dealt with motion in two dimensions. Δ x = v t − 1 2 a t 2 (This formula is missing v 0 . ω – = Δ θ Δ t. g. The radius of the pizza is given to be, r = 0. They track an object's motion through space at any given time, in terms of both the current and future locations of the object. The kinematics of rotational motion describes the relationships among rotation angle, angular velocity, angular acceleration, and time. The equations of angular kinematics are extremely similar to the usual equations of kinematics, with quantities like displacements replaced by angular displacements and velocities replaced by angular velocities. It yields an equation for each Cartesian component. The variables include acceleration (a), time (t), displacement (d), final velocity (vf), and initial velocity (vi). Scalar quantities provide the magnitude, or amount, of a variable, while vector Kinematics is a subfield of physics and mathematics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move. Variable Interpretation: Δ𝜃 is angular displacement in radians, 𝜔 is final angular velocity in radians/second, 𝜔o is initial angular velocity in radians/second, t is time in seconds, and 𝛼 is acceleration in rad/s^2. Angular velocity ω is the rate of change of an angle, ω = Δθ Δt, where a rotation Δθ takes place in a time Δt. It’s worth noting that this is the only kinematic equation without time in it. Like the linear acceleration is F/m F / m, the angular acceleration is The kinematics of rotational motion describes the relationships among rotation angle, angular velocity, angular acceleration, and time. Angular displacement is defined as the change from the final position to the initial position (Δθ = θ f – θ i ). When the acceleration a (t) of an object is a non-constant function of time, we would like to determine the time dependence of the position function x (t) and the x -component of the velocity v (t) . If values of three variables are known, then the others can be calculated using the equations. Yes, there is. 2) (7. Vector Walk. For example, the average velocity vector is v = ( d f − d o )/ t, where d o and d f are the initial and final displacement vectors and t is the time elapsed. v = final velocity of object. The acceleration is replaced by the angular acceleration (α), which describes the rate of change of angular velocity with respect to time. In Kinematics, we studied motion along a straight line and introduced such concepts as displacement, velocity, and acceleration. Kinematic Equations. 0 s) (+8. x = x 0 + v 0 t + 12 at². Study the analogy between force and torque, mass and moment of inertia, and linear acceleration and angular acceleration. 08 m. the acceleration in a direction tangent to the circle at the point of interest in circular motion. To measure linear or angular speed and other kinematics quantities follow these steps: Establish a line or plane calibration. Kinematics aims to provide a description of the spatial position of bodies or systems of material particles. 10) (10. Feb 16, 2023 · Kinematics: Explanation, Review, and Examples. The important quantities in Kinematics are displacement, velocity, acceleration and time. The equation ˉv = v0 + v 2 reflects the fact that, when acceleration is constant, v is just the simple average of the initial and final velocities. I should box these. Practice. At t = 0 , it is located on the x -axis. The time is represented as t even in rotational motion. b. e. what are examples of angular kinematic equations. This is mostly what is learned in physics so it is equally a bit of a …. Therefore, the area under the remaining segment must be +1. This change in input affects the equations. ω – = ω 0 + ω f 2. Swinging of a cricket or baseball bat. Demonstrate the Law of Conservation of Energy. Examples of this include rotating about an object's center of mass (as in a wheel spinning on an axle Jul 20, 2022 · Example 6. 11. If ω ω increases, then α α is positive. It is also known as rotational motion. the speed of the current. Created by David SantoPietro. 0 m/s. These are important. 2Rotational and Translational Kinematic Equations. a = d2x dt2 → α = d2θ dt2 a = d 2 x d t 2 → α = d 2 θ d t 2. To understand kinematics . The following are the four basic kinematics equations: v = v₀ + at. u = initial velocity of the object. The study of kinematics is often referred to as the “geometry of motion. Learn Kinematics Equations with free step-by-step video explanations and practice problems by experienced tutors. Rewriting Equation 8. Compensate for lens distortion. Typically we have a desired end effector velocity. Units and Dimensions. From the definition of the average angular velocity, we can find an equation that relates the angular position, average angular velocity, and time: – ω = Δθ Δt. The second correspondence has to do with relating linear and rotational variables in the special case of circular motion. For motion in two dimensions, the earlier kinematics equations must be expressed in vector form. Using the formula for angular displacement, May 6, 2024 · Angular Motion. The application of angular motion can be seen in several day-to-day activities. v^ {2}=v_ {0}^ {2}+2a\Delta x. Each equation contains four variables. " Such an object will experience a downward acceleration of 9 Apr 7, 2015 · Explanations and examples ofapplying kinematics equations to rotational motion. Kinematic Equations and Free Fall. ) through which the body rotates (revolves or spins) around a centre or axis of rotation. Jun 18, 2024 · The angular acceleration must be constant in the situation in order to use these rotational kinematics equations. Oct 27, 2017 · This physics video tutorial provides a basic introduction into angular acceleration. ˉv = v0 + v 2 (constanta). Combining Equations 7. Our last kinematic equation is read as “final velocity squared equals initial velocity squared plus two times acceleration times displacement”. practice problem 2. 3, where in the third column, we have listed the connecting equation that relates Jul 20, 2022 · 4. Solving for θ θ, we have. There are two main descriptions of motion: dynamics and kinematics. Kinetics deals with the laws of motion while kinematics deals with the equations About this unit. ˉv = x − x0 t. This Interactive highlights the distinction between distance and displacement. Torque and equilibrium. Track a point trajectory or track an object containing an angle. 4) (9. As a result, the angular kinematic equations can be used to calculate specific angular motion variables associated with angular motion. Let's swing, buzz and rotate into the study of simple harmonic and rotational motion! Learn about the period and energy associated with a simple harmonic oscillator and the specific kinematic features of rotational motion. Ł A vector loop equation can be represented as two algebraic position equations. Some angular motion examples are: Figure skating, Acrobatics, Gymnastics. 00 s, he would give the merry-go-round an angular velocity of 13. Applying the quadratic equation to solve for time: t = − vo ± √v2 o − 2g(xo − xf) g. Another motion of an object is termed linear motion, which is a motion along a straight route. Now, this equation corresponds to the kinematics Sep 27, 2020 · Conversely, a positive acceleration means that the change in the velocity points in the positive direction. nb ⁄ FR = M aR = 0. You can use our free kinematic equations solver to solve the equations that is used for motion in a straight line with constant acceleration. Depending on the VehicleInputs name-value argument, you can input only wheel speeds or the vehicle speed and heading rate. Nov 21, 2023 · There are four kinematic equations. Slope= Acceleration (a)= changeinvelocity time. A Jacobian relates end effector velocity to joint velocity. 1 and 7. ω = ω 0 + αt Kinematic equations relate the variables of motion to one another. Kinematic analysis is used for measuring the quantities related to motion. ∆ v = −9. Jan 14, 2019 · To determine this equation, we use the corresponding equation for linear motion: v = v0 + at. Rotate the merry-go-round to change its angle, or choose a constant angular velocity or angular acceleration. 2. We shall see that in the general three-dimensional case, the angular velocity of the body can change in magnitude as well as in direction, and, as a consequence, the motion is considerably more complicated than that in two dimensions. The rotational kinematics equations are as follows: 1. Nov 21, 2023 · This is because there must be constant angular acceleration to use the kinematic equations. Instead of differentiating velocity to find acceleration, integrate acceleration to find velocity. To determine this equation, we recall a familiar kinematic equation for translational, or straight-line, motion: Mar 12, 2024 · a unit of angular measure defined by the arc length covered by the angle divided by the radius of the circle that the arc length is part of; one full circle is \ (2 \pi\) radians. 25 k g ⋅ m 2 = 6. Kinematics can be considered a branch of mathematics. Examples of Angular kinematics are tornadoes and fan blades. We can then use this simplified set of equations to describe many Feb 20, 2022 · In equation form, angular acceleration is expressed as follows: α = Δω Δt, (10. The analytical process for the kinematics of the slider-crank mechanism reveals the following observations: Ł A mechanism with a single kinematic loop yields one vector-loop equation. The velocity-time graph for the motion is: The distance traveled can be found by a calculation of the area between the line on the graph and the time axis. v² = v₀² + 2a (x – x₀) x = x₀ + ½ (v₀ + v)t. As with linear displacement, angular displacement has a direction associated with it. Therefore, we can say that the length of the arc of the wheel that has rotated an angle θ, is equal to Rθ. Determine…. a. These rotation equations apply only in the case of constant angular acceleration. This is very similar to how the linear acceleration is defined. 1 7. [1] [2] [3] Kinematics, as a field of study, is often referred to as the "geometry of motion" and is Jan 29, 2020 · Kinematics doesn't regard the mass of any object in the system to describe its motion, whereas kinetics does. 6 m/s relative to still water. Learning to use these three terms correctly can be made much easier by learning a few tricks of the trade. 4) (10. Physics and Maths lead instructor. 3o. By definition, acceleration is the first derivative of velocity with respect to time. Instead of using the co-ordinates x and y, the displacement can be written in terms of r (its distance from the origin O), and the angle θ between the displacement vector and an axis through the origin O: The kinematics of rotational motion describes the relationships among rotation angle, angular velocity, angular acceleration, and time. Since xx and θθ depend on time, we can take the Feb 20, 2022 · The conversion between radians and degrees is 1rad = 57. Learn. Level up on all the skills in this unit and collect up to 600 Mastery points! Start Unit test. It is a quantitative expression of the change in angular velocity per The average angular velocity is just half the sum of the initial and final values: – ω = ω0+ωf 2. Where x 0 is the initial displacement and v 0 is the initial velocity of the particle. We define the following angular (rotational) versions of what we studied previously in kinematics: position: θ(t) displacement: Δθ = θ2 − θ1 average velocity: ωave = Δθ Δt instantaneous velocity: ω(t) = dθ dt average acceleration: αave = Δω Δt instantaneous acceleration: α(t) = dω dt. (9. Includes worked examples. x = x₀ + v₀t + ½at². Angular displacement may be signed, indicating Jul 28, 2023 · The angular velocity does not change for uniform circular motion, and the angular acceleration is zero. Let us start by finding an equation relating ω, α, and t. Since the change in angle is describing the same motion as the change in distance, we can connect the two using a known geometric relationship between angle, θ θ, radius, R R, and arc length, s s: s = Rθ (7. This analysis forms the basis for rotational kinematics. Rotational Kinematics Taylor Series for angular velocity: – Similar to translational kinematics, with no “position vector” For rotations about a constant axis: – Rotations do commute → can assign an “angular position” θ – Taylor Series for rotation angle (about a constant axis only): = 0 d dt ∣ t0 t −t0 1 2 If, for example, the father kept pushing perpendicularly for 2. Understand the analogy between angular momentum and linear momentum. Essentially, it deals with applying a set of equations of motion to solve various physics problems. For the angular kinematic equations given in Figure 3, {eq}\Delta \theta {/eq} is the angular equivalent Introduction ¶. For motion with constant angular acceleration α = ( ωf - ωi )/ (t f - t i) = Δ ω /Δt we have Δ ω = ω Δt, ωf = ωi + α Δt. the magnitude of the swimmer's resultant velocity. 0 m/s2) ∆ v = +8. Rotational kinematics. Here initial means t = 0. Angular displacement represents the angle formed between the final position and the initial position of a rotating line. acceleration α x time rad/s Nov 21, 2023 · When studying kinematics, an important concept to understand is the difference between scalar and vector quantities. Introduction to torque Apr 29, 2022 · The Fourth Kinematic Equation. Kinematic equations help solve for an unknown in a problem when an object has either a constant velocity or constant acceleration. Having a specific understanding of an object's position, acceleration, velocity, and motion comes in handy in situations ranging from bobsledding to launching rockets into outer space. 4 questions. The kinematic equations are a set of four equations that can be utilised to predict unknown information about an object's motion if other information is known. Inverse kinematics is relatively complicated and sometimes impossible. 3 rad/s when it is empty but only 8. To determine this equation, we recall a familiar kinematic equation for translational, or straight-line, motion: Summary of Manipulator Kinematics Introduction. Calculate the angular velocity of a car wheel spin. This is a vector equation. In simple words, angular acceleration is the rate of change of angular velocity, which further is the rate of change of the angle θ θ. A particle is moving in a circle of radius R. Angular Acceleration is defined as the time rate of change of angular velocity. Kinematics part looks of Angular like Motion_rk. , Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations. So this is the relationship between the angular velocity and the speed. Motion is in a straight line – think of the particle as moving along a number line. Types. Angular kinematics review (Opens a modal) Practice. Derive the equation for rotational work. 2: Belt- and Gear-Driven Systems Rotational kinematics of belt-driven pulley systems, simple gear systems, and compound gear The most fundamental quantities in kinematics are position and velocity. The angle the particle makes with the positive x -axis is given by θ(t) = At − Bt3 θ ( t) = A t − B t 3 where A and B are positive constants. The motion of free-falling objects is the best example of vertical motion. When she hits the brake, the angular acceleration is large and negative. In this lecture, we consider the motion of a 3D rigid body. Explore how circular motion relates to the bug's x,y position, velocity, and acceleration using vectors Velocity and acceleration vectors in two dimensions. Let an object is moving with uniform acceleration. The calculator will readily calculate results by employing kinematics equations. May 21, 2023 · Rotational Equations of Motion. 1: Kinematics is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by LibreTexts. Take the operation in that definition and reverse it. This is a brief introduction to kinematics to give a student some ideas of what engineers do. Three different motions are presented to the learner with the challenge of determining the distance traveled and the overall displacement for each. Angular Motion is the motion of an object around a fixed axis or point, or along a curved path with a constant angular velocity. That is to say that any object that is moving and being acted upon only be the force of gravity is said to be "in a state of free fall . 1) (9. Torque (Opens a modal) Constant angular momentum when no net torque Note that the angular acceleration as the girl spins the wheel is small and positive; it takes 5 s to produce an appreciable angular velocity. 0 m/s + 8. We know angular acceleration is α = dω dt. 2, and substituting displacement dx d x with change in arc length Lecture L25 - 3D Rigid Body Kinematics. Ł Position equations are non-linear in the coordinates (angles and distances 1-Dimensional Kinematics. tangential acceleration. 8 in the form of a quadratic equation we get: 1 2gt2 + vot + (xo − xf) = 0. 1. frequency. Solving for x yields. Horizontal Motion: It is defined as motion in a horizontal plane. Kinematics is the correct use of the parameters position, velocity, and acceleration to describe motion. Such descriptions can rely upon words, diagrams, graphics, numerical data, and mathematical equations. 12 rev/s and 1. 2 Angular Velocity. 2) s = R θ. 0 m/s to compensate. The dimensional formula is [M 0 Angular kinematics is the study of rotational motion in the absence of forces. It is usually expressed in radians per second per second. Projectile motion is a Mar 14, 2013 · Visit http://ilectureonline. 2 7. 1) x = R θ. To determine this equation, we recall a familiar kinematic equation for translational, or straight Sep 10, 2021 · 14. This is shown in Table 10. The average velocity is deflned as the rate of change of position in time: v = xf ¡xi t: (1) In this formula, v is the velocity of the object, xf is the flnal position, xi is the initial Rotational kinematic formulas (Opens a modal) Torque, moments, and angular momentum. It explains how to calculate the angular acceleration and the radial ac Calculus is an advanced math topic, but it makes deriving two of the three equations of motion much simpler. Thus, \ (\begin {array} {l}\alpha =\frac {d\omega } {dt}\end {array} \) The angular acceleration is also known as rotational acceleration. (10. v² = v 02 + 2ax. As in linear kinematics where we assumed a is constant, here we assume that angular acceleration α is a constant, and can use the relation: a = rα a = r α Where r – radius of curve. ∆ v = area under a-t graph ∆ v = area of a triangle ∆ v = ½ bh ∆ v = ½ (2. It is assumed that the angle is zero at t=0 and that the motion is being examined at time t. com for more math and science lectures!In this video I will develop the three basic angular rotational equations and show their e Let's repeat it for the second. Let us start by finding an equation relating ω, α, ω, α, and t. This is R the radius times the angular velocity equals the speed of the object. Join the ladybug in an exploration of rotational motion. 5 m. Determine (a) the angular velocity vector, and (b) the velocity vector. A swimmer heads directly across a river swimming at 1. kinematics equations. A fly lands on the pizza and walks around the edge for a distance of 80 cm. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e. The number line has a fixed point O (the origin) Kinematics is the science of describing the motion of objects. floppy disk: ?? hard drive: ?? Selected angular speeds (smallest to largest) * period of rotation, † in terms of angular speed, rpm = revolution per minute, Hz = hertz = revolution per second. Motion without reference to force. We recommend using the latest version of Chrome, Firefox, Safari, or Edge. These fundamental concepts of physics are derived using calculus, although a first presentation of the equations of motion usually avoids the use of calculus. Vertical Motion: It is defined as motion in a vertical plane. Furthermore, since the wheel is in constant contact with the ground, the length of the arc correlating to the angle is also equal to x. t. 5* (25. Change in velocity = AB= v − u. However, the person on the mass knows of only one force, the Fcentripetal, so there is something. The distance traveled can be calculated using a kinematic equation. The motion of bikes, cars, or other vehicles on roads is the best example of horizontal motion. wrong with Newton's 2nd Law for the person viewing things on the mass. The units of angular acceleration are (rad/s)/s, or rad/ s2 s 2. Forward kinematics is relatively simple. Kinematics is the description of motion. Calculate rotational kinetic energy. The units of angular velocity are radians per second (rad/s). We typically want to compute the inverse of the Jacobian. 10) α = τ I = 375 N ⋅ m 56. 25kg ⋅ m2 = 6. Area = 0. As mentioned in Lesson 5, a free-falling object is an object that is falling under the sole influence of gravity. This video will help you choose which kinematic equations you should use, given the type of problem you're working through. The position, velocity, and acceleration of the object are used to describe how an object moves. x = x0 + ˉvt, where the average velocity is. The speed of the object is gonna equal the radius of the circular path the object is traveling in times the angular velocity. Calculate the angular displacement of the fly? Answer: According to the question, the distance traveled by the fly on the pizza is s = 80 cm = 0. 0 s)* (25. This physics video tutorial provides a basic introduction into rotational motion. This kinematics calculator will help you solve the uniform acceleration problems by using kinematics equations of physics. magnetic data storage. 1: Angular position for a particle moving around the z axis (out of the page), along a circle of radius R with a center at the origin. Each of the kinematic equations include four variables. The direction of the angular acceleration vector is perpendicular to the plane where the rotation takes place. Let's explore the concepts and equations that govern how objects move, and learn how to calculate the specifics of an object's motion. Freestyle swimming. 0 m/s ∆ v = −1. Oct 27, 2017 · This physics video tutorial provides a basic introduction into rotational kinematics. Nov 29, 2023 · Rotational quantities (also called "angular quantities") describe the angular components of an object's motion. The angular velocity, ω, is the rate of the change of the angular position, and the angular acceleration, α, is the rate of change of the angular velocity: ω = d dtθ α = d dtω. They can never be used over any time period during which the acceleration is changing. Wheel Speed Equation. In terms of revolutions per second, these angular velocities are 2. [ x ˙ y ˙ θ ˙] = [ r cos ( θ) 0 r sin ( θ) 0 0 1] [ ϕ ˙ ω] Unicycle Equation of Motion. A lot of questions on the motion of the object are answered in Mar 12, 2024 · Substituting the simplified notation for Δx and Δt yields. The angular velocity quickly goes to zero. The average angular velocity is the angular displacement divided by the time interval: omega = (theta 1 - theta 0) / (t1 - t0) This is the average angular velocity during the time interval from t0 to t1 , but the object might speed up and slow down during David explains the meaning of angular displacement, angular velocity, and angular acceleration. We can then use this simplified set of equations to describe many applications in physics and engineering where the angular Define kinematics. 3. Since position depends quadratically on time, the quadratic equation is often needed to solve for time. When working in the context of rotational kinematics, there is usually a defined point of rotation for which motion is analyzed. It describes the difference between linear motion or translational motion Introduction to rotational kinematics: angular position, velocity and acceleration equations; determining angular velocity and acceleration of a point on a body rotating about a fixed axis. 89 rad/s when the child is on it. This post is a brief introduction to kinematics or the study of motion. ) ‍. Objects are in motion all around us. 5*b*h = 0. Similarly, we have the following With angular motion, it can be useful to define the position of an object using a different set of co-ordinates to those for linear motion. May 15, 2024 · Figure 11. We will discuss what kinematics is and introduce important ideas such as vectors and scalars, the difference between distance and displacement, the difference between speed and velocity, and a short description of acceleration. 41 rev/s, respectively. In both cases, the relationships are analogous to what happens with linear motion. The measured data can be displayed in two ways: Directly on the object. This chapter of The Physics Classroom Tutorial explores each of these representations of motion using informative graphics, a systematic approach, and an easy-to-understand language. In a dedicated kinematics diagram. Kinematics is the branch of physics that describes the position and motion of objects as a function of time. v = rω, orω = v r. ”. 0 m/s) Area = 313 m. 4) α = Δ ω Δ t, where Δω Δ ω is the change in angular velocity and Δt Δ t is the change in time. Let object reach point B after time (t) Now, from the graph. Jul 12, 2024 · Kinematics, branch of physics and a subdivision of classical mechanics concerned with the geometrically possible motion of a body or system of bodies without consideration of the forces involved. First Equation Of Motion. Using the rotational variables Delta theta for the angle that the object rotates through, w_i and w_f for the initial and final angular velocities, a for the Kinematics is the study of the motion of a particle (object) linking the three vector quantities displacement, velocity and acceleration. sp ho xb go ud ma wg rr ek eu