The acceleration of a point P is given by a = 8 sin t f t s 2 . Plot velocity and displacement of P if x(0) = 6 ft and x(1) = 20 ft

hint: You are given a(t), and values of x at t = 0 and t = 1. I suggest using indefinite integrals here. So you will have two constants of integration in the expression for x(t), which you can solve by plugging in t = 0 and t = 1.