conservation energy law

How to use the energy conservation law?
A ball with a mass of m=1kg is thrown vertically up with the initial speed of 40 m/s. Using the energy conservation law, find: (a) Maximum height reached by the ball. (b) Types and magnitudes of energy at starting point. (c) Types and magnitudes of energy at maximum height. (d) types and magnitudes of energy at h=10m above the ground.
(b)
PE = mgh = 0
KE = 1/2 mv²
(c)
PE = mgh = mg h_max
KE = 1/2 mv² = 0
(a)
Potential Energy At Topmost Point = Initial Kinetic Energy
mg h_max = 1/2 mv²
Answer:
h_max = 1/2 v²/g
(d). Do it yourself
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