3. A rocket is travelling upward at 35 m/s. At 40 m from the ground, its engine fails, continues to a certain height, then on a free fall back to

the ground. Neglecting air resistance, a. Sketch and label the motion of the rocket from the start to the finish (5 pts) b. Find the maximum height Smax reached by the rocket (10 pts) c. Find the rocket's speed just before it hits the ground. (10 pts)