Given that,
Mass of roller coaster car = 700 kg
Radius = 12 m
Height from the ground h₂= 5 m
Normal force = 580 N
We need to calculate the speed of roller coaster at top
Using balance equation

Put the value into the formula




We need to calculate the value of maximum height
Using conservation of energy


Put the value into the formula




Hence, The max height of release h₁ for the roller coaster car is 21.18 m