1. a 0.40 kg ball is launched at a speed of 16 m/s from a 22 m cliff.
a) what are its kinetic energy, potential energy, and total mechanical energy at the instant
it was launched

51.2 J, 86.2 J, 137.4 J

Explanation:

The kinetic energy of the ball is given by:

where

m = 0.40 kg is its mass

v = 16 m/s is its speed

Substituting,

The potential energy of the ball is given by

where

m = 0.40 kg

is the acceleration of gravity

h = 22 m is the heigth of the cliff

Substituting,

Finally, the total mechanical energy is the sum of the kinetic energy and the potential energy: