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Projectile Motion and Classical Mechanics

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(See attached file for full problem description with diagrams)
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A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 16.0 m/s. The cliff is h = 22.0 m above a flat horizontal beach, as shown in Figure P3.24.

Figure P3.24
How long after being released does the stone strike the beach below the cliff?
s
With what speed and angle of impact does the stone land?
m/s
° below the horizontal

A boat moves through the water of a river at 7 m/s relative to the water, regardless of the boat's direction. If the water in the river is flowing at 1.6 m/s, how long does it take the boat to make a round trip consisting of a 185 m displacement downstream followed by a 185 m displacement upstream?
s

A science student is riding on a flatcar of a train traveling along a straight horizontal track at a constant speed of 10.0 m/s. The student throws a ball along a path that she judges to make an initial angle of 54.0° with the horizontal and to be in line with the track. The student's professor, who is standing on the ground nearby, observes the ball to rise straight up. How high does the ball rise?
m

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Solution Summary

This solution uses classical mechanics equation that break up the x and y components to determine the time & angle of impact of the stone landing on the beach as well as the boat's displacement upstream and height of the ball. All steps and formulas are shown.

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