On a day when the water is flowing relatively gently, water in the Niagara River

Question

On a day when the water is flowing relatively gently, water in the Niagara River is moving horizontally at 4.5 m/s before shooting over Niagara Falls. After moving over the edge, the water drops 53 m to the water below. If we ignore air resistance, how much time does it take for the water to go from the top of the falls to the bottom? Express your answer to two significant figures and include the appropriate units. How far does the water move horizontally during this time? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Part A

using newton equation for vertical motion

initial vertical velocity=u=0

S=53 m

S=ut+0.5gt^2

we got

time taken =sqrt (2S/g)=3.3 sec

Part B

horizontal distance travelled=4.5*3.3=14.8 m

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