Posted by **Andrea** on Wednesday, October 17, 2007 at 8:52pm.

Consider a roller coster car moving along a track from point A to point B to point C. a)if the roller coaster car starts from rest at point A (30m above the bottom of a dip (point b). What would be the speed of the car at the top of the next hill (point C), which is 20 m above the bottomm of the dip. Assume friction is negligible.

mgh=1/2mv^2

gh=1/2v^2

(9.8)(10) =1/2(v^2)

98=1/2v^2

v=14m/s

My issue is whether h is actually 20m (the distance b/w B and C)or is it 10m(the distance b/w A and C)

b) if instead the roller coaster car started with a speed of 20m/s at point A what is its speed at the top of the next hill (point C) Assume friction is negligible.

1/2mv_a^2=1/2mv_c^2

1/2v_a^2=1/2v_c^2

1/2(20)^2=1/2v_c^2

v_c=20 m/s

is this correct?

- Physics -
**bobpursley**, Wednesday, October 17, 2007 at 8:59pm
a) You got the right answer,but I would have worked it different, which answers your issue:

Total energy remains constant.

final energy= initial energy

PEfinal+KEfinal = PE initial + KE initial

mg20 + 1/2 mvf^2 = mg30 + 0

b) you did it wrong. Do it the way I outlined in a), you now have an initial KE.

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