# 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 ?

May 13, 2017

The speed is $= 1 m {s}^{-} 1$

#### Explanation:

The velocity is the derivative of the position.

$p \left(t\right) = \sin t + 2$

$v \left(t\right) = p ' \left(t\right) = \cos t$

Therefore,

$v \left(2 \pi\right) = \cos \left(2 \pi\right) = 1 m {s}^{-} 1$