Determine at what height the kinetic energy of a ball thrown vertically upward at a speed of 16

Determine at what height the kinetic energy of a ball thrown vertically upward at a speed of 16 m / s is equal to its potential energy.

Given:

V = 16 m / s;

g = 9.8 m / s2;

Ek = Ep.

Find:

h -?

Solution:

Ek = Ep;

mV2 / 2 = m * g * h;

Divide the left and right sides of the equality by m:

V2 / 2 = g * h;

162/2 = 9.8 * h;

256/2 = 9.8 * h;

128 = 9.8 * h;

h = 128: 9.8;

h = 13 meters.

Answer: at a height of 13 meters.