The ball flies out of the children’s spring pistol vertically upward with an initial velocity

The ball flies out of the children’s spring pistol vertically upward with an initial velocity v0 – 5 m / s. To what height from the place of departure will it rise?

Given:
v0 = 5 m / s
g = 10 m / s ^ 2
Find: h -?
Decision:
Method I
h = v0t-gt ^ 2/2
0 = v0-gt⇒t = v0 / g
h = v0 * v0 / g-v0 ^ 2 / 2g = v0 ^ 2 / 2g = 5 ^ 2/2 * 10 = 1.25 m.
Method II
mv0 ^ 2/2 = mgh⇒h = v0 ^ 2 / 2g = 1.25 m.
Omвem: h = 1.25 m.