Problema Solution
the velocity of v in feet per second of a roller coaster at the bottom of a hill is related to the vertical drop h in feet and the velocity of V in feet per second of the coaster at the top of the hill by the formula V=(v^2 - 64h)^(1/2). what velocity must a coaster have at the top of a 50-foot hill to achieve a velocity of 57 feet per second?
Answer provided by our tutors
v = 57 ft/s velocity at the bottom
h = 50 ft vertical drop
V = ? the speed at the top
V=(v^2 - 64h)^(1/2)
V = (57^2 - 64*50)^(1/2)
V = 7 ft/s
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the velocity of the coaster at the top must be 7 feet per second.