How much kinetic energy does a 7.2-kg dog need to make a vertical jump of 1.2 m? (gravity is 9.8)

First, calculate the initial velocity of the dog given with the vertical height and the acceleration due to gravity which is calculated through the equation,

2ad = Vo²

Substituting the known values,

2 (9.8 m/s²) (1.2 m) = V₀²

V₀ = 4.85 m/s

The kinetic energy is solved through the equation,

KE = 0.5mv²

Substituting the known values to the latest equation,

KE = 0.5 (7.2 kg) (4.85 m/s) ²

KE = 17.46 J

Thus, the kinetic energy is 17.46 J.