Home
Class 11
PHYSICS
A balloon starts rising from the ground ...

A balloon starts rising from the ground with an acceleration of `1.25ms^-2`. After 8 seconds, a stone is released from the balloon. After releasing, the stone will:

A

Reach the ground in 4 second

B

Begin to move down after being released

C

Have a displacement of 50 m

D

Cover a distance of 40 m in reaching the ground

Text Solution

Verified by Experts

The correct Answer is:
A
When the stone is released from the balloon. Its height
`h = 1/2 at^2 = 1/2 xx 1.25 xx (8)^2 = 40m`
and velocity v = at = `1.25 xx 8 = 10 m//s`
Time to reach the ground
`h = ut + 1/2 g t^2`
`rArr 40 = (-10)t + 1/2 xx 10 xx t^2`
rArr t^2 - 2t - 8 = 0 rArr t = 4, -2`
t = 4sec
Promotional Banner

Similar Questions

Explore conceptually related problems

A balloon starts rising from the ground with an acceleration 2 ms^(-2) . After 5 second , a stone is released from the ballooon. Find the time taken by the stone to reach the ground after its release and total height attained by ballooon when stone reaches the ground. Take g==10 ms^(-2) .

A balloon starts rising from the ground with a constant acceleration of 1.25m//s^(2) . After 8 s, a stone is released from the balloon. Find the time taken by the stone to reach the ground. (Take g=10m//s^(2) )

A balloon starts rising from ground with an acceleration of 1.25 m//sec^2 . A 8 seconds a stone is released from the balloon. The maximum height from the ground reached by stone will be.

A balloon starts rising from the ground with an acceleration of 1.25 m//s^(2) . A stone is released from the balloon after 10s. Determine (1) maximum height of ston from ground (2) time taken by stone to reach the ground

A balloon starts from the state of rest from the ground with constant acceleration g/n. after time T, a stone is dropped from the balloon. If stone takes time T to reach the ground then calculate value of n.

A balloon starts rising from ground from rest with an upward acceleration 2m//s^(2) . Just after 1 s, a stone is dropped from it. The time taken by stone to strike the ground is nearly

A ballon starts risintg from ground from rest at some constant acceleration. After some time, a storne is dropped from it. If the stone reaches the ground in the same time in which balloon reached the dropping poing from ground, find the acceleration of the balloon.

A balloon reses from rest on the ground with constant acceleration g // 8. A stone is dropped from the balloon when the balloon has resen to a height of (H). Find the time taken by the stone to reach the ground.

A bolloon starts from rest moves vertically upwards with an acceleration g//8 ms^(-2) a stone falls from the balloon after 8 s from the start. Further time taken by the stone to reachg the ground (g=9.8ms^(-2)) is