a person in a hot air balloon ascending vertically at a constant rate of 12m/s drops a rock over the side when the balloon is 40 m above the ground, what is the velocity of the rock just before it hits the ground, and how long will it take the rock to reach the ground

1 answer

the rock reaches its peak after 12/g s

it ascends at an average rate of
... (12 m/s + 0 m/s) / 2

it then free falls from h

m g h = ½ m v² ... v = √(2 g h)

t = 2 h / v