Question

A 66.9 kg high jumper leaves the ground with a vertical velocity of 8.9 m/s. How high can he jump? The acceleration of gravity is 9.8 m/s^2. Answer in units of m.

Answer 1

Below

Step-by-step explanation:

All of the Kinetic energy ( 1/2 mv^2) will be converted to Gravitational Potential Energy ( mgh) ....so

1/2 m v^2 = mgh divide both sides of the equation by 'm'

1/2 v^2 = gh ( not that the mass of the jumper is irrelevant !)

(1/2 v^2 ) /g = h

(1/2) (9.8 m/s)^2 / (9.8 m/s^2 ) = 4.9 m