Question

John is standing on top of a 19.6-m tall bridge. off in a distance, he sees a boat approaching the bridge at constant speed. when the boat is 27 m from the bridge, john drops a stone. the stone hits the water 3 m in front of the boat.how fast is the boat traveling?

Answer 1

If  john drops a stone and the stone hits the water 3 m in front of the boat. The speed of the boat is: 12m/sec.

Speed

First step is to find the time

-19.6 m = -1/2 ×9.8 m/s² × t²

0 = -4.9t²  + 19.6

-19.6  = -4.9t²

t²=  19.6 / 4.9  

t  =√(19.6 / 4.9)

t=√4

t = 2 seconds

Second step is to calculate the speed using this formula

Speed=Distance/Time

Let plug in the formula

Speed=27 - 3/2

Speed=  24/2

Spee= 12m/sec

Inconclusion the speed of the boat is: 12m/sec.

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