Answer Here, assuming no energy is dissipated by friction or air resistance, all the gravitational potential energy it has at the top of the hill is converted to kinetic energy at the bottom of the hill. Therefore, we have:
m
g
h
=
1
2
m
v
2
final
We want to solve for
v
, therefore
2
g
h
=
v
2
final
√
2
g
h
=
v
final
√
2
(
9.8
)
(
88
)
=
v
final
41.5
m
s
=
v
final