Find the velocity vector v(t) and the acceleration vector a(t) of the straight line motion given by r(t) =< 2 + t2 , 3 − 2t2 , 5 − t2 >. Compute the speed ||v(t)|| and check that the acceleration vector points in the same direction as the velocity vector if the speed||v(t)|| is increasing and in the opposite direction if the speed is decreasing.

Find the velocity vector v(t) and the acceleration vector a(t) of the straight line motion given by r(t) =< 2 + t2 , 3 − 2t2 , 5 − t2 >. Compute the speed ||v(t)|| and check that the acceleration vector points in the same direction as the velocity vector if the speed||v(t)|| is increasing and in the opposite direction if the speed is decreasing.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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