Math/physics Gravity Question

Question

The gravitational field of earth is given by G = 9.8 N/Kg. If an object is dropped from a height of 10 meters, what will its velocity of fall be in m/s when it is 9% of the way in its fall to the earth?

Answer 1

Vi = 0 ,H = 9% of 10 m = 10*9 / 100 = 0.9 m

Using

Vf² = Vi² +2 g H

Here g = Acceleration due to gravity of earth or gravitational field of earth

Plug in Vi = 0 , H= 0.9 m

Vf² =2* 9.8 *0.9 = 17.64

Vf = √ 17.64

Vf = 4.2 m/s