Find the maximum velocity of a roller coaster with a mass of 3,320 kg when it reaches the bottom of a 83 meter drop

Explanation:

In the absence of friction, the potential energy at the top of a hill will equal the   kinetic energy at the bottom.

Assume that friction is negligible and velocity is essentially zero at the top.

½mv² = mgh

v = √(2gh)

v = √(2(9.8)83)

v = 40.333608...

v = 40 m/s   (145 kph)

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find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2