If a roller coaster $($mass $=500$ kg$)$ starts from rest $50$ meters above the ground $($assuming no friction$),$ answer the following:

$1.$ Where is the potential energy the greatest?

a$.$ At the top$-$ of the first hill

b$.$ At the bottom of the hill

c$.$ Both the top of the hill and at the bottom of the hill have the same amount of potential energy

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$2.$ Where is the kinetic energy the greatest?

a$.$ At the top$-$ of the first hill

b$.$ At the bottom of the hill

c$.$ Both the top of the hill and at the bottom of the hill have the same amount of kinetic energy

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$3.$ Where is the total energy of the roller coaster greater at$?$

a$.$ At the top$-$ of the first hill

b$.$ At the bottom of the hill

c$.$ Both the top of the hill and at the bottom of the hill have the same amount of total energy

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