A stone is thrown vertically upward with a speed of 19.0m/s

Question

How fast is it moving when it reaches a height of 10.0m

Answer 1

Ke at bottom = (1/2) m v^2 = 180.5 m

Pe at top = m g h = m (9.81)(10) = 98.1 m

Ke lost in rise = 98.1 m
so
Ke at top = (1/2)m v^2 = (180.5-98.1) m

so
(1/2) v^2 = 82.4
so
v = 12.8 m/s