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## Homework Statement

A roller coaster travels on a frictionless track as shown in the figure.

(a) If the speed of the roller coaster at Point A is 5.0 m/s, what is its speed at Point B?

(b) Will it reach Point C?

(c) What speed at Point A is required for the roller coaster to reach Point C?

Please view the attached figure. In case the image is too blury, the height of Point A = 5.0 meters, and the height of Point C = 8.0 meters.

## Homework Equations

KE = 0.5*m*v^2

PE = m*g*y, where y = vertical position

## The Attempt at a Solution

KE = PE

0.5*m*v^2 = m*g*y

mass cancels

0.5*v^2 = g*y

v = √(2*g*y)

What confuses me is what to do with the starting speed at Point A, 5.0 m/s. If the velocity at the top was zero, then the problem would be relatively straightforward. Where do I go from here? Thanks in advance!