A hot air balloon is rising straight up at a constant speed of 8.0 m/s. When the balloon is 12.0 m above the ground, a gun fires a pellet straight up from the ground level with an initial speed of 25.0 m/s. Along the path of the balloon and pellet there are two places where each of them has the same altitude at the same time. a. How far above the ground are these places? b. What are the corresponding velocities of the pellet when it was the same altitude as the hot air balloon? c. How much distance was there between the balloon and the pellet when the pellet reached its maximum height