A hot-air balloon is rising upward with a constant speed of 2.95 m/s. When the balloon is 3.30 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

Answer 1

Consider the compass: you know the initial vertical velocity, its initial height, and gravitational acceleration.

hfinal=hinitial+ vi*time -4.9 t^2
solve for t. hfinal is 0, hinitial is 3.30

Answer 2

5m/s