(4) A rocket starts from rest and moves upward from the surface of the Earth. For the first 10 seconds of motion the vertical acceleration is given by the function a = At. Let x = 0 represent the starting point on the surface of the Earth. (a) Derive symbolic expressions for the velocity of the rocket and position of the rocket as a function of time. Take A = 6 m/s for the next parts. (b) Calculate a numerical value for the height of the rocket at t = 10 s. (c) At t = g 10 seconds the rocket engine stops. How high does the rocket go? Take = 10 m/s. Provide a numerical value with units. Show your work. Box your answers.