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