You and your physics major roommate become involved in a sinister plot to drop w

Question

You and your physics major roommate become involved in a sinister plot to drop water balloons on students entering your dorm. Your room is 30m above the sidewalk. You plan to place an X on the sidewalk to mark the spot a student must be when the balloon is dropped. The student will walk the distance from the X to the place the balloon hits in the time the balloon falls. After observing several students, you conclude most students walk at about 1 m/s when coming into the dorm. How far from the impact point do you place the X?

Explanation / Answer

t = sqrt(2h/g) = sqrt(2*30/9.8) = 2.474 s

so X from the impact point = 1*2.474 = 2.474 m

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