An airplane is flying 1200 m above the ground at a speed of 200 m/s. It drops a pumpkin on a target on the ground. a) Calculate how far from the target the pumpkin must be dropped so that it lands on the target. 200 m/s 1200 m b) Calculate the angle the pumpkin's trajectory makes with the ground when it strikes. c) How would your answer to a) change if the airplane were flying at a downward angle when dropping the pumpkin? Justify your answer qualitatively. d) Suppose that instead of dropping the pumpkin, the pilot throws the pumpkin downward with an initial downward speed. Steve the student claims "Since the pumpkin is given an initial vertical velocity, it will hit the ground with a greater speed. Since the pumpkin is travelling faster, it will also travel further in the x-direction before hitting the ground. i. What part of the student's reasoning is correct? Justify your answer. ii. What part of the student's reasoning is incorrect? Justify your answer.