A hot-air balloon is ascending at the rate of 12 m/s and is 80 m above the ground when a package is dropped over the side. (a) How long does the package take to reach the ground? (b) With what speed does it hit the ground?

Explanation:

Given

balloon is ascending at the rate of

Balloon is at a height of

As the package is dropped from the balloon it must possess the same initial velocity as the balloon

using

where v=final velocity

u=initial velocity

a=acceleration

s=displacement

time taken is  given by

substituting values

as we consider downward direction as positive

therefore time taken to reach the bottom is t=5.44 s                                            

it would be kevlar ^^