Identify whether the given statement is true. If the statement is false, write the correct statement. 1. In a uniform circular motion, the acceleration and velocity are tangential to the path. 2. A projectile motion has constant acceleration and constant velocity for its horizontal and vertical components, respectively. 3. Consider two objects (namely A and B) with velocities of VA and VB with respect to a common stationary frame of reference, say C. What is the velocity of B relative to A? --- It is the difference of velocity of C with respective to A from velocity of B with respect to C.

Identify whether the given statement is true. If the statement is false, write the correct statement. 1. In a uniform circular motion, the acceleration and velocity are tangential to the path. 2. A projectile motion has constant acceleration and constant velocity for its horizontal and vertical components, respectively. 3. Consider two objects (namely A and B) with velocities of VA and VB with respect to a common stationary frame of reference, say C. What is the velocity of B relative to A? --- It is the difference of velocity of C with respective to A from velocity of B with respect to C.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section3.5: Tangential And Radial Acceleration

Problem 3.5QQ: A particle moves along a path, and its speed increases with time. (i) In which of the following...

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1. At what point in the trajectory of the projectile motion does the velocity of the object or particle always equal to zero? 2. Why is the acceleration in uniform circular motion is sometimes called centripetal acceleration? 3. In a nonuniform circular motion, what is the direction of the tangential acceleration if the moving particle has increasing velocity? 4. What refers to the total time that took to complete one cycle?
A particle moves along a path, and its speed increases with time. (i) In which of the following cases are its acceleration and velocity vectors parallel? (a) when the path is circular (b) when the path is straight (c) when the path is a parabola (d) never (ii) From the same choices, in which case are itsacceleration and velocity vectors perpendicular everywhere along the path?
To find the velocity and acceleration vectors for uniform circular motion and to recognize that this acceleration is the centripetal acceleration. Suppose that a particle's position is given by the following expression: r→(t)=R[cos⁡(ωt)i^+sin⁡(ωt)j^] =Rcos(ωt)i^+Rsin(ωt)j^ =Rcos⁡(ωt)i^+Rsin⁡(ωt)j^. Finally, express the magnitude of the particle's acceleration in terms of R and v using the expression you obtained for the speed of the particle. Express your answer in terms of one or both of the variables R and v. (the expression for speed = ωR)
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