The displacement of a body is given by r=√(a^2-t^2)+tcos t^2, where a is constant. Find velocity?

1 Answer
May 11, 2018

t(a2t2)122t2sin(t2)+cos(t2)

Explanation:

The change in displacement(distance) per unit of time is velocity.

Given:

r=a2t2+tcos(t2)

velocity=drdt

Rewriting as:

r=(a2t2)12+tcos(t2)

drdt((a2t2)12+tcos(t2))=12(a2t2)12(2t)+

t(sin(t2)(2t)+cos(t2)

=2t2(a2t2)122t2sin(t2)+cos(t2)

=t(a2t2)122t2sin(t2)+cos(t2)