A particle starts from the origin with velocity 5ˆi m/s at t = 0 and moves in the xy plane witha varying acceleration given by→a = (6√tˆj), where→a is in meters per second squared and tis in seconds. (a) Determine the velocity of the particle as a function of time. (b)Determine the position of the particle as a function of time.

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
Section: Chapter Questions
Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...
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A particle starts from the origin with velocity 5ˆi m/s at t = 0 and moves in the xy plane witha varying acceleration given by→a = (6√tˆj), where→a is in meters per second squared and t
is in seconds.

(a) Determine the velocity of the particle as a function of time.

(b)
Determine the position of the particle as a function of time.

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