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Vectors, velocity & mass: Speed of six model rockets

Six model rockets (ABCDEF) have just had their engines turned off. All of the rockets are aimed at the same angle, but their speeds differ. All of the rockets are the same size and shape, but they carry different loads, so their masses differ. (Their respective masses are listed below.) At the instant when the engines are turned off, the rockets are all at the same height. Rank the rockets based on the horizontal speed at the maximum height. List them in order of increasing horizontal speed, from smallest to largest. (E.g., if B is smallest, then A,C,D and finally E is largest, enter BACDE. If they are all of equal speed, then enter in the order listed.)

A: v = 20 m/s, m = 500 g
B: v = 55 m/s, m = 700 g
C: v = 45 m/s, m = 600 g
D: v = 40 m/s, m = 400 g
E: v = 60 m/s, m = 600 g
F: v = 55 m/s, m = 400 g

Solution Preview

Part of the trouble here is that the problem isn't very well defined. For example, are you meant to assume that air resistance plays a role? If you assume that there is NO air resistance to consider, then of course, you would rank the rockets in order of increasing initial velocities, since the angles are the same, so the horizontal components of the velocities are ranked in the same order as the total initial velocities (we ...

Solution Summary

The solution is explained and calculated given the problem information.

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