A balloon starts from rest from the ground and moves with uniform acceleration g/8. When it reaches a height h a ball is dropped from it. Find the time taken by the ball to reach the ground.

A balloon starts from rest from the ground and moves with uniform acce

1.	A balloon starts from rest from the ground and moves with uniform acceleration g/8. When it reaches a height h a ball is dropped from it. Find the time taken by the ball to reach the ground.
Answer» SOLUTION :Velocity of ballon when is at a height is `v=sqrt((2gh)/(8)=sqrt(gh)/2` `-h=vt-1/2gt^(2)` `-h=sqrt(gh)/2 t-1/2gt^2` `-h=sqrt(gh)/2 t-1/2 gt^(2)` `1/2 gt^(2)-sqrt(gh)/2 t-h=0` SIMPLIFYING and taking only the POSITIVE value as NEGATIVE value of t is not acceptable we get `t=2 sqrt(h/g)`