. . . 7. A rocket with mass m is launched upward with a constant thrust of FT. The rocket starts at rest and at a height y = 0m. You can ignore air resistance in this problem and assume the rocket's mass remains constant during its flight. [20 points] a. Derive an equation for the speed of the rocket when it reaches altitude y. [8 pts] b. The motor of a 0.35kg model rocket can supply a constant 9.5N of thrust. What is the rocket's speed as it reaches a height of 85m? [2 points ] c. At height of y=H. the rocket runs out of fuel and its thrust stops. Derive an P equation for the peak height the rocket reaches, y=P. The two heights are Peak shown in the image to the right. [8 points] height d. If the model right runs out of fuel at 85m, what is its peak height? [ 2 points] H Height thrust ends Answers to selected problems Giving these answers without any explanation or mathematical work to find the