How many times larger is the required centripetal acceleration for a car rounding a curve at 45 MPH than for one rounding the same curve at 20 MPH? (Round the final answer to four decimal places.)
The centripetal acceleration is times larger for the car rounding the curve at 45 MPH.

it is called kinetic energy

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