If the speed of the roller coaster at point A is v A = 3.5 m/s, what is its spee

Question

If the speed of the roller coaster at point A is vA = 3.5m/s, what is its speed at point B? What speed at point A would be required to reach point C? I was able to find the speed at point B, 10 m/s, but I cannot find the speed required at A to reach a height of C. Thanks for any help!

If the speed of the roller coaster at point A is vA = 3.5m/s, what is its speed at point B? What speed at point A would be required to reach point C? I was able to find the speed at point B, 10 m/s, but I cannot find the speed required at A to reach a height of C. Thanks for any help!

Explanation / Answer

apply conservation of energy

PE + KE at A = PE+KE at C

but KE at C=0

and PEat c- PE at A

= mg(hc-ha)

thus

0.5*m*v^2=mg(hc-ha)

or v^2=2h(hc-ha)

so you need to give us hc and ha or you can find v by yourself

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