The first hill of a roller coaster is 42 meters high. The top of the second hill of the roller coaster is 33 meters high. The mass of the roller coaster is 34,500 kg.

Calculate the velocity of the roller coaster at the top of the second hill (rounding your answer to the integer). Ignore friction and assume the velocity at the top of the first hill is 0 m/s.

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft

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