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Sagot :
We can use potential energy to solve. Remember, your height and your gravity need to have the same sign, as they are moving in the same direction (downward). Either make them both negative, or use an absolute value.
Using conservation of energy, we know that PEtop=KEbottom. This tells us that the potential energy at the top of the hill is all converted to kinetic energy at the bottom of the hill. We can substitute the equations for potential energy and kinetic energy.
mgh=12mv2
The masses cancel out.
gh=12v2
Plug in the values, and solve for the velocity.
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