The tallest and fastest roller coaster in the world has a vertical drop of 93.5

Question

The tallest and fastest roller coaster in the world has a vertical drop of 93.5 m. The coaster has a speed of 3.0 m/s at the top of the drop A) neglect friction and find the speed of 70.0-kg person who rides at the bottom The tallest and fastest roller coaster in the world has a vertical drop of 93.5 m. The coaster has a speed of 3.0 m/s at the top of the drop A) neglect friction and find the speed of 70.0-kg person who rides at the bottom A) neglect friction and find the speed of 70.0-kg person who rides at the bottom

Explanation / Answer

Given h = 93.5 m

initial speed vi = 3 m/s

mass m = 70 kg

speed at the bottom is vf

from conservation of energy

(1/2 * m * vi^2) + (m * g * h) = 1/2 * m * vf^2

(vf)^2 = (vi)^2 + 2*g*h

(vf)^2 = 3^2 + (2*9.8 * 93.5)

vf = 42.91 m/s------------------------------Answer

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