A particle r = (2t3 + 3t) i + (4 - 5t2) j - t4 k given time-dependent position It moves with the vector. Here r is in meters and t is in seconds. a) How far has the particle traveled after the first 3 s? b) What is the angle between the velocity vector and the position vector at time t = 2 s?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter4: Two-and-three Dimensional Motion
Section: Chapter Questions
Problem 17PQ: A If the vector components of a particles position moving in the xy plane as a function of time are...
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A particle r = (2t3 + 3t) i + (4 - 5t2) j - t4 k given time-dependent position
It moves with the vector. Here r is in meters and t is in seconds.

a) How far has the particle traveled after the first 3 s?

b) What is the angle between the velocity vector and the position vector at time t = 2 s?

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