Answer all parts a-d

5. The position of an object is represented by s(t) = -t2 (t - 3) where s(t) is the position in metres and t is the time in seconds. [10 marks] a) Determine the velocity and acceleration equations. b) Determine the times when the object is at rest. Sketch a(t) and v(t) on the same grid. d) An object is speeding up when a(t) x v(t) > 0. Determine the intervals of time when the object is speeding up