A 600kg Cart rests at the top of an 8m tall Frictionless Roller Coaster Hill. If the Cart is released to begin the ride, how Fast will it be going when it reaches the bottom of the Hill?

12.5m/s

Explanation:

Given parameters;

Initial velocity  = 0m/s

Height  = 8m

Mass of cart  = 600kg

Unknown:

Final velocity   = ?

Solution:

To solve this problem, we use the expression below;

          v²   = u²  + 2gh

v is the final velocity

u is the initial velocity

g is the acceleration due to gravity

h is the height

 Now insert the parameters and solve;

         v²  = 0²  + 2 x 9.8 x 8  = 156.8

         v  = 12.5m/s

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