Solved: A 5500-kg cart carrying a vertical rocket launcher

Chapter 3, Problem 3.69

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A 5500-kg cart carrying a vertical rocket launcher moves to the right at a constant speed of along a horizontal track. It launches a 45.0-kg rocket vertically upward with an initial speed of relative to the cart. (a) How high will the rocket go? (b) Where, relative to the cart, will the rocket land? (c) How far does the cart move while the rocket is in the air? (d) At what angle, relative to the horizontal, is the rocket traveling just as it leaves the cart, as measured by an observer at rest on the ground? (e) Sketch the rockets trajectory as seen by an observer (i) stationary on the cart and (ii) stationary on the ground.

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