particle is moving in three dimensions and its position vector is given by; r→(t)=(1.6t^2+3.7t)i+(3.7t−1.4)j+(4.6t^3+3.8t)k where r is in meters and ?t is in seconds. Determine the magnitude of the average acceleration between t=0s and t=2s. Express your answer in units of m/s2 using one decimal place.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.22P
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A particle is moving in three dimensions and its position vector is given by;

r→(t)=(1.6t^2+3.7t)i+(3.7t−1.4)j+(4.6t^3+3.8t)k

where r is in meters and ?t is in seconds. Determine the magnitude of the average acceleration between t=0s and t=2s. Express your answer in units of m/s2 using one decimal place.

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