# Finding speed of roller coaster at different points

1. Nov 8, 2012

### joe426

1. The problem statement, all variables and given/known data

2. Relevant equations

KE= 1/2 m v2
PE = mgy

3. The attempt at a solution

I'm not sure how to start this because there is no given mass. If I use a kinematics equation I don't have an acceleration.

2. Nov 8, 2012

### cbasst

At point 1, the roller coaster only has potential energy (no kinetic energy because velocity is 0). At point 2, it will have lost all of its potential energy - the potential energy will have been converted into kinetic energy. Since no energy is being lost due to friction, PE1 must be equal to K2. Given that, can you figure the rest out? (Hint: set up the equation PE1=K2)

3. Nov 8, 2012

### joe426

v = sqrt (2gy)
v = sqrt (2 * 9.8m/ss * 35m) = 26.19 m/s at point 2

But K2 doesnt equal P2 because K2 equaled P1 at a height of 35m, not 28m, right?

4. Nov 8, 2012

### cbasst

I don't know if I understand this question. Did you mean to say "But K2 doesn't equal P3 because K2..."? If you were asking about how to solve for velocity at P3, do you think you could use a similar strategy that you did for point P2? It may help if I point out that you are indirectly given the difference in height between P1 and P3.