find the velocity

Question

A meteorite approaching the earth has a velocity inversely proportional to the root of the distance from the center of the earth. If the velocity is 6 kilometers per second when the distance is 8,836 kilometers from the center of the earth, find the velocity at a distance of 6,889 kilometers.

Answer 1

V = k/√d

6 = k/√8836

6 = k/94

564 = k

 

V = 564/√6889 = 564/83

V =6.795 km/sec