A catapult launches a test rocket vertically upwards from a well, giving the rocket an initial speed of 80 m/sec at grou

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A Catapult Launches A Test Rocket Vertically Upwards From A Well Giving The Rocket An Initial Speed Of 80 M Sec At Grou 1 (40.54 KiB) Viewed 40 times

A catapult launches a test rocket vertically upwards from a well, giving the rocket an initial speed of 80 m/sec at ground level. The engines then fire, and the rocket accelerates upward at 4 m/sec² until it reaches an altitude of 1000 m. a) How long does it take the rocket to reach the altitude of 1000 m? Answer: 10 sec b) What is the speed of the rocket when it reaches an altitude of 1000 m? Answer: 120 m/sec Time t y = 1000 m. t=0 Yo = 0. Vo = 80 m/sec a = 4 m/sec² Y When the rocket reaches an altitude of 1000 m, the engines fail and the rocket goes into free fall, with an acceleration of a = -g. For the remainder of this problem, the rocket engines will be off. We will re-define t=0 sec to be the time when the rocket is at an altitude of 1000 m. The initial properties of the rocket will be the properties of the rocket at 1000. c) What is the largest height the rocket reaches? Answer: 1734.7 m v = 0 m/sec Ymax Redefine as t = 0 Yo = 1000 m d) What is the time it takes the rocket to hit the ground? Answer: 31.06 sec e) What is the velocity of the rocket just before it hits the ground? Answer: -184.4 m/sec Vo = 120 m/sec a =-g g = 9.8 m/sec² V/0 AY Engines On —— Engines Off