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

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

Grade:12th pass

6 Answers

Vivek Kumar Singh
13 Points
6 years ago
when balloon moves from rest with a constant acceleration 2 m/sec^2 for 1 sec. it travells 1 m upward and then stone dropped. At this time velocity of stone is 2 m/s upward. now Stone is moving under gravity. stone takes 1.93 sec. to strike the ground.
Santosh Datla
askIITians Faculty 77 Points
6 years ago
Dear Student,

Thanks for posting your doubts. I have attached the complete solution.

Regards,
Santosh Datla
Physics Expert, askIITians.com
Santosh Datla
askIITians Faculty 77 Points
6 years ago
Dear Student, Thanks for posting your doubt. I have attached the complete solution. Hope that this answers your query.

Regards,
Santosh Datla
Physics Expert,
askIITians.com
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swarup kumar majee
49 Points
6 years ago
for balloon,
initial velocity of balloon=0  so,u=o
                                                 a=2m/s2
                                                  t=1s
v=u+at                
v=2m/s  (as u=0m/s ,a=2m/s2,t=1s)
s=ut+1/2at2      
s=1m     (as u=0m/s ,a=2m/s2,t=1s)
for stone,
u=-2m/s ,s=1m,a=9.8m/s2
at2+2ut-2s=0
9.8t2-4t-2=0
t=.7s
ankit singh
askIITians Faculty 614 Points
3 years ago
The balloon starts to rise vertically upward with an acceleration of 2m/s^{2}
After one second (First Case)
Therefore in this case; u = 0 ; t =1; a=2
The distance traveled in this case by the formula s=ut+ \frac{1}{2}at^{2}
∴ s = 1m
Case Two:-
From there a stone was dropped...
Therefore the stone was falling under the effect of gravity
Therefore in this case; u=0;s=1;a=9.8
The time can be calculated in this case by the formula s=ut+ \frac{1}{2}at^{2}
∴ t ≈ 0.45s
 
ankit singh
askIITians Faculty 614 Points
3 years ago
Bithional is added to soaps to: Bithional added to soaps to impart antiseptic properties and to reduce the odour produced by bacterial decomposition of organic matter on skin. Bithional is an aromatic compound which contains sulphur and is used in soaps.

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