SOLUTION: Hannah is riding her bicycle at 25 meters/second on level ground towards Bagley's Hill. If she coasts going up the hill, which is only 10 meters tall, what velocity will she still

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Question 1070809: Hannah is riding her bicycle at 25 meters/second on level ground towards Bagley's Hill. If she coasts going up the hill, which is only 10 meters tall, what velocity will she still have at the top? Neglect all friction in this problem.You may assume a mass of 72.38489638547 kilograms if you want.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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The energy conservation law says


%28mV%5E2%29%2F2 - %28mv%5E2%29%2F2 = mg%28H-h%29.


where g = 9.81 m/s^2 is the gravity acceleration.

Cancel m, the mass, which is the same in both sides. You will get


%28V%5E2%29%2F2 - %28v%5E2%29%2F2 = g%2A%28H-h%29.


Substitute the given data and solve for V.