Question

A ride at a county fair spins in a circle of radius r (in meters). The
centripetal force F experienced by one of the passengers on the ride is
modeled by the equation below, where t is the number of seconds the
ride takes to complete one revolution and m is the mass (in kilograms)
of the passenger.

t = √ 4x²mr/f

Tom, whose mass is 84.4 kilograms is on a ride that is spinning in a
circle at a rate of 12 seconds per revolution. The radius of the circle is
6.5 meters.

Letting = 3.14, how much centripetal force does Tom experience?
(Round your final answer to the nearest whole number.)
F =

Answer 1

The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the horizontal distance in feet.

1) Represent the distance-height relationship for each player’s ball as an equation, in a table and on a graph. Record each representation and clearly label which player the information belongs to.

2) Supposed there were no obstacles.

a. Whose ball would travel the greatest distance before hitting the ground?

b. Whose ball would travel the shortest distance before hitting the ground?

3) Suppose the fence was 350 ft from home plate. At what height was each ball when it passed over the fence?