A ballon is rising upwards with an acceleration A stone is dropped from the ballon, when the ballon is - Physics - Motion In A Straight Line

Question

A ballon is rising upwards with an acceleration A stone is dropped
from the ballon, when the ballon is at a height of 50 4m The stone
reaches the ground after 6s What was the velocity of the ballon
when it was dropped?

Bakul Biswas · Accepted Answer

Dear student,
A stone is dropped from a rising balloon at a height of 50 4 m
above the ground and it reaches the ground in 6 s
If the stone were dropped from a stationary balloon, the time t
taken for it to reach the ground would have been given by
50 4 = (1/2)*9 8*t2
=> t = (50 4/4 9)
=> t = 10 26 s
But the stone takes 6 s to reach the ground If the upward velocity
of the balloon in V
50 4 = -V*6 + (1/2)*9 8*36
=> 6*V = 126
=> V = 21 m/s
The balloon is rising up at 21 m/s when the stone is dropped from
it
Regards

A ballon is rising upwards with an acceleration. A stone is dropped from the ballon, when the ballon is at a height of 50.4m . The stone reaches the ground after 6s. What was the velocity of the ballon when it was dropped?