The position of a particle for t > 0 is given by r⃗ (t) = 43.0t2i + 7.0 t3j + 5.0 t-2k̂ m (a) What is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What isthe particle’s velocity at t = 2.0 s?

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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The position of a particle for t > 0 is given by r⃗ (t) = 43.0t2i + 7.0 t3j + 5.0 t-2k̂ m (a) What is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What isthe particle’s velocity at t = 2.0 s? (d) What is its speed at t = 1.0 s and t = 3.0 s? (e) What is the average velocity between t = 1.0 s and t = 2.0 s?

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