Motion in one dimension

Q1. A balloon raises with constant velocity 10 m/s. A load tied by a rope to the balloon is cut when it is at a height of 500 m.
(a) How long will it take to reach the ground ?

A1.

Here Initial velocity u = 10 m/s ( Positive , since direction of initial motion is positive)

Displacement , S = - 500 m (towards downward - against initial motion direction)

Acceleration (due to gravity) , a = - 9.8 m/s2 (also downwards - against initial motion direction)

Use equations: S = ut + 1/2 a t2

See answer as : t = 11.12 seconds