Question

Suppose three balls start from the same elevation with different initial velocities. Ball A starts from rest, ball B is thrown vertically upward at speed v and ball C is thrown vertically downward at speed v. Which ball has the least speed as it hits the ground.

Answer 1

so we can solve it using energy considerations.. while A only has mgh
B and C has mgh + 0.5mv^2
since energy is conserved and for all the balls it converts to kinetic energy (say 0.5mu^2)
you can see that A will have the lowest velocity since its energy is the lowest