Energy Conservation:
A bike rider approaches a hill at an initial velocity of 8.5 m/s. The mass of the bike and

rider is 85 kg. If the rider coasts up the hill, what is the final height the rider can reach?

3.9 m

Explanation:

Assuming no energy losses then all kinetic energy is converted to potential energy

and making h the subject of the formula

where m is the mass of bike rider and bike, v is the velocity,  and g is acceleration due to gravity. Taking g as 9.81 m/s2, v as 8.5 m/s then

you get 2.3=1.21*\frac{a}2 or 4.6=1.21a or a=3.802 (b)

explanation: