Question

The position of an object moving along a line is given by `p(t) = 3t - cos(( pi )/2t) + 2`. What is the speed of the object at `t = 3`?

Answer 1

`s(3) = 3 - pi/2`

Explanation:

Given: `p(t) = 3t - cos(pi/2t) + 2`

`s(t) = 3 + pi/2sin(pi/2t)`

`s(3) = 3 - pi/2`