A key falls from a bridge that is 50 m above the water. It falls directly into a

Question

A key falls from a bridge that is 50 m above the water. It falls directly into a model boat, moving with constant velocity, that is 11 m from the point of impact when the key is released. What is the speed of the boat? A key falls from a bridge that is 50 m above the water. It falls directly into a model boat, moving with constant velocity, that is 11 m from the point of impact when the key is released. What is the speed of the boat? A key falls from a bridge that is 50 m above the water. It falls directly into a model boat, moving with constant velocity, that is 11 m from the point of impact when the key is released. What is the speed of the boat?

Explanation / Answer

Accelerated motion falling key

d = 0.5 at^2 + Vo*t

Vo*t = 0 the key started from rest

d = 0.5at^2
50 m = 0.5 * 9.8m/s^2 *t^2
50 = 4.9 t^2
t^2 = 10.20
t = 3.19 s

Constant velocity motion, boat at constant velocity

d = vt
11 m = v*3.19

v = 3.45 m/s

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