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4.2 Exercise 10

Avg difficulty 2.5

A particle has a position function r→(t)=cos(1.0t)i^+sin(1.0t)j^+tk^,\overset{\rightarrow}{r} \left(t\right) = \text{cos} \left(1.0 t\right) \hat{i} + \text{sin} \left(1.0 t\right) \hat{j} + t \hat{k} , where the arguments of the cosine and sine functions are in radians. (a) What is the velocity vector? (b) What is the acceleration vector?

OpenStax University Physics Volume 1, 4.2 Acceleration Vector, exercise 10

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.