A rogue black hole with a mass 21 times the mass of the sun drifts into the solar system on a collision course with earth. Part A How far is the black hole from the center of the earth when objects on the earth's surface begin to lift into the air and "fall" up into the black hole

answer: 31, 5556. 952 seconds

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