Before it reaches the ramp, the toy's kinetic energy is
(1/2) (mass) (speed²)
= (1/2) (3 kg) (16 m²/s²)
= 24 Joules .
On the way up the ramp, its kinetic energy will change to
gravitational potential energy, and it'll stop when it's height
gives it 24 joules of potential energy.
Potential energy = (mass) (gravity) (height)
24 joules = (3 kg) (9.8 m/s²) (height)
Divide each side by 29.4 kg-m/s² (that's the same as 29.4 newtons):
Height = 24 joules / 29.4 newtons
= 0.816 meter higher than the bottom of the ramp.
