Step-by-step explanation:
Kinetic energy formula:
KE = 1/2 m v^2
= 1/2 (2 kg)(10 m/s)^2 = 100 J of KE
This is equal to the Potential Energy that the ball HAD before it moved ...all of this PE was converted to the KE at the bottom....
PE = mgh = 100 J
2 kg * 9.81 m/s^2 * h = 100 j
h =5.1 m