Akey falls from a bridge that is 45 m above the water. the key falls straight down and lands in a model boat traveling at a constant velocity of 3.5 m/s. calculate the distance the boat was from the point of impact when the key was released.

Let the key is free falling, therefore from equation of motion

.

Take initial velocity, u=0, so

.

As velocity moves with constant velocity of 3.5 m/s, therefore we can use formula

From above substituting t,

.

Now substituting all the given values and g = 9.8 m/s^2, we get

.

Thus, the distance the boat was from the point of impact when the key was released is 10.60 m.

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