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Question

Consider the situation depicted above, in which a green box is initially

held motionless at a height y = 62 meters above the ground. The box is

then released, after which it slides down a frictionless ramp, across a

frictionless horizontal surface, and then launches into the air off of the

edge of a cliff. The edge of the cliff is h = 29 meters above the ground.

After a brief flight, the box hits the ground at the position of the "x" in the

diagram above. How far from the base of the cliff is the "x" (this is the

distance denoted "R" in the diagram)? Express your answer in meters.

Fig: 1