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Velocity of water at the bottom of Niagara Falls

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Q.2. Water in the Niagara River approaches the falls at a velocity of 8km/hr. Niagara Falls is approximately 55 m high. Neglecting air resistance, estimate the velocity of the water at the bottom of the falls.

(Note: This problem can be solved using at least two different definitions of the system, bonus points will be given if you can solve it with two different choices.)

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(1) Using Equations of Motion:

For the vertical motion of water, u = 0, a = g = 9.8 m/s^2, s = 55 m

v^2 = u^2 + 2as

v^2 = 0 + 2(9.8)(55) = 1078

v = 32.83 m/s

For the horizontal motion of water, the ...

Solution Summary

The velocity of water at the bottom of Niagara Falls. A complete, neat and step-by-step solutions under two different approaches are provided.