As part of a daring rescue attempt, the millennium eagle coasts between a pair of twin asteroids, as shown in the figure below where d1 = 2.55 km and d2 = 1.28 km. the mass of the spaceship is 2.53 x10^7 kg and the mass of each asteroid is 3.70x10^11 kg. find the speed of the millennium eagle at point a if its speed at point b is 0.990 m/s.

the total distance traveled by the car is

30km + 49km = 79 km .

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