Question 1201554: The velocity,v, in meters per second, of a roller coaster at the bottom of the hill is related to the vertical drop, h, in meters, and the velocity, v0, in meters per second, of the roller coaster at the top of the hill by the formula v0 = √v²-20h.
a.) Tom simplifies the expression for the formula to v0 = v - 2 √5h. is he correct. explain you reasoning.
b.) Suppose the velocity at the top of the hill is 20m/s and the velocity at the bottom of the hill is 40m/s. What is the vertical drop of the hill
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! The velocity,v, in meters per second, of a roller coaster at the bottom of the hill is related to the vertical drop, h, in meters, and the velocity, v0, in meters per second, of the roller coaster at the top of the hill by the formula v0 = √v²-20h.
a.) Tom simplifies the expression for the formula to v0 = v - 2 √5h. is he correct. explain you reasoning.
Incorrect
Square both sides
400 = 1600-20h
20 h = 1600-400
20h =1200
h= 60 m
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