PS3-3 - Problem Set 3: Problem 3. Problem: A rocket of...

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Problem Set 3: Problem 3. Problem: A rocket of weight W launches vertically from rest at time t =0 . Its motor provides constant thrust force, T ,fo r 0 t t m .A f t e r t = t m , the rocket motor shuts off. You can neglect the friction force from the air and you can treat the rocket’s mass as being constant. (a) At what time, t f , does the rocket reach its maximum height? Express your answer as a function of T , W and t m . (b) What is the maximum height, h , reached by the rocket? Express your answer as a function of T , W , t m and gravitational acceleration, g . (c) Compute t f and h for W =0 . 25 lb, T =2 . 5 lb and t m =2 sec. Solution: The solution strategy is to balance forces in Part (a), noting that the acceleration assumes different values before and after time
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PS3-3 - Problem Set 3: Problem 3. Problem: A rocket of...

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