A ball of mass 0.100 kg is thrown into the air with a speed of 6.0 m/s and from a height of 2.0m. What is the mechanical energy of the ball when it has a height of 5.0 m.

Answer 1

v(t) = 6-9.8t
h(t) = 2+6t-4.9t^2
find t when h=5, and then figure the energy for that velocity and height.

Answer 2

V^2 = Vo^2+2g*h = 0
6^2+(-19.6)h = 0
h max. = 1.84 m above launching point. = 3.84 m above gnd.
Therefore, 6 m/s initial velocity is not high enough for the ball
to reach 5 m.