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A Roman soldier calculates that in order for a stone from his catapult to just reach the gate of the hill fort, he must shoot the stone at 50 m/s at an angle of 20o above the horizontal. The point at which the stone leaves the catapult is 3.0 m above the ground, and the gate of the hill fort is at the same level as the foot of the catapult.
(a) Find the horizontal and vertical components of the stone's velocity at t = 0.
(b) How long will it take the stone to reach the gate?
(c) How far is the catapult from the gate?
(d) What is the stone's velocity as it lands (just before it touches down)?
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