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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? How far does the water move horizontally during this time?

Respuesta :

Answer: 3.28 s, 14.76 m

Explanation:

Given

Water moves horizontally with a speed of [tex]v=4.5\ m/s[/tex]

It falls from a height of [tex]h=53\ m[/tex]

Time is taken to fall this much height is

[tex]\Rightarrow t=\sqrt{\dfrac{2h}{g}}\quad [\text{As there is no initial vertical velocity}]\\\\\Rightarrow t=\sqrt{\dfrac{2\times 53}{9.8}}\\\\\Rightarrow t=3.28\ s[/tex]

In this time, water moves horizontally by

[tex]\Rightarrow d=4.5\times 3.28\\\Rightarrow d=14.76\ m[/tex]

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