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A diver initially moving with speed v dives off the edge of a cliff and lands in water at a distance d from the base of the cliff. How far would he have landed if he was initially moving with a speed of 2v?

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Answer: 2d

 The time in the air for a horizontal projectile is dependent on the height and independent of the initial speed. Since the time in the air is the same at speed v and at speed 2v, the distance (d = vt) will be twice as much at a speed of 2v.

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