Conservation of energy on a roller coaster

The following figure represents the ride for a cart with a mass of 200 kg along a frictionless track.

a. Calculate the velocity of the cart at points A, B, and C if the cart is dropped from a height of 100m with a initial velocity of 10 m/s.

b. Calculate the height of the second loop knowing that the velocity of the cart is 24.5 m/s.

c. Calculate the total Energy of the cart for any one of the points A through D.

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