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# Determining final velocity using initial velocity and displacements

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A 5 kg bowling ball is rolled back to the bowler over a ramp system. If the ball is given an initial velocity of 0.6 m/s at its starting point's height which is 100 cm, what is the balls velocity at its ending point at 40 cm, after going over a height of 45cm first? So the ball leaves the first position goes through a dip up to 45 cm and ends at 40 cm.

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This job incorporates how to find final velocity using initial velocity and displacements.

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We have a bowling ball starting on a level, going over a bump, and then ending on a lower level:

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ball goes this way -->

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The way to approach a problem like this is to use conservation of energy. Assume that you have a frictionless surface (or, calculate the energy lost to friction if you don't).

The ball initially has some potential energy due to it's ...

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