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## Homework Statement

The rollercoaster moves freely without negligible friction. The radius of the loop is 20m and the car barely makes it through the loop.

Find the speed at position 3.

Find the speed at position 1 and 2.

Find the difference in height between position 1 and 4 if the speed at position 4 is 10m/s.

The only part I've been able to solve so far is position 3 which I used the formula:

v=√gR=√196=14m/s

I'm not sure what direction to take for position one and two and was wondering if I could get help with those two parts. Thank you so much :)