An object moves along the

x-axis with acceleration given by a(t) = sin 2t, t being the time, measured in seconds. At t = 0, its position is given by s = 5, and its velocity at t = 0 is v = −1/2 (that is, it is moving to the left at a speed of 1/2 unit per second).

**(a)** Where is it after 5 seconds?

**(b)** What is the farthest left it gets, and when does it first get there?

**(c)** What is the farthest right it gets, and when does it first get there?

how would i start off by tacking this question.

do i need to integrate sin2t to get the velocity?