a bicyclist has a mass of 50 kg. Intial velocity is 20 m/s as she hits the bottom of the hill. Doing no work, she reaches the top of the hill with a final velocity of 5 m/s. What is the vertical height of the hill?

m g h = (1/2)mVi^2 -(1/2)m Vf^2

2 g h = Vi^2-Vf^2
h = (Vi^2-Vf^2)/(2g)
=(400 -25)/(2*9.8)