You are assigned to design a ride for an amusement park. The ride drops riders f

Question

You are assigned to design a ride for an amusement park. The ride drops riders from the top of a tall tower and let's them free fall for a short time before bringing them to a stop. For the riders' safety, you must make sure the riders do not experience an acceleration greate than 2g. Assume the riders have a constant acceleration while they slow down and come to a stop. If the riders are to free fall for 2.5 seconds, what is the minimum height of the tower? You are assigned to design a ride for an amusement park. The ride drops riders from the top of a tall tower and let's them free fall for a short time before bringing them to a stop. For the riders' safety, you must make sure the riders do not experience an acceleration greate than 2g. Assume the riders have a constant acceleration while they slow down and come to a stop. If the riders are to free fall for 2.5 seconds, what is the minimum height of the tower?

Explanation / Answer

distance travelled s=u*t+1/2*a*t^2

for the freely falling body u=0

now,

distance travelled or height of the tower is,

s=1/2*a*t^2

=1/2*9.8*3.5^2

=60.025 m ..........is answer

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