Question

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

Answer 1

The speed is `=1ms^-1`

Explanation:

The velocity is the derivative of the position.

`p(t)=sint+2`

`v(t)=p'(t)=cost`

Therefore,

`v(2pi)=cos(2pi)=1ms^-1`