Rubber doughnuts are floating along a river that flows underneath a 67-m high br

Question

Rubber doughnuts are floating along a river that flows underneath a 67-m high bridge at a constant speed of 3.9 m/s. You were standing on the bridge eating a bag of chocolate chips when you accidentally dropped one over the edge. To your great amazement, the chip fell right through the center of a doughnut just as it reached the bridge (bet you can't do it again!). Use g = 9.81 m/s2, and assume air resistance is negligible. (a) How long did it take the chocolate chip to reach the water? t = s (b) How far was the doughnut from the edge of the bridge when you dropped the chip? x = m

Explanation / Answer

apply S = 0.5*g*t^2

S = 67m

g = 9.81 m/s^2

then time t = sqrt(S/(0.5*g)) = sqrt(67/(0.5*9.81)) = 3.7 s

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B) delkta X = u*t = 3.9*3.7 = 14.42 m

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