Consider a toy car which can move to the right or left along a horizontal line (the positive part of the distance axis) and a force applied to that car. Which force would allow the car to move toward the right (away from the origin) with a steady rate (constant velocity)?
Assume friction is so small that it can be ignored.

i think it's 35 meters

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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hope this !