The position coordinate of a particle which is confined to move along a straight line is given by x = 2t3 - 24t +6 where x is measured in meters from a convenient origin and t is in seconds. Determine (a) the time required for the particle to reach a velocity of 72 m/s from its initial condition at t= 0. (b) the acceleration of the particle when v = 30 m/s, and (c) the net displacement of the particle during the interval from t = 1s to t = 4s.

The position coordinate of a particle which is confined to move along a straight line is given by x = 2t3 - 24t +6 where x is measured in meters from a convenient origin and t is in seconds. Determine (a) the time required for the particle to reach a velocity of 72 m/s from its initial condition at t= 0. (b) the acceleration of the particle when v = 30 m/s, and (c) the net displacement of the particle during the interval from t = 1s to t = 4s.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....

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