A hot-air balloonist drops an apple over the side while the balloon is accelerating upward at 4.0 ms^-2 during lift-off. If the speed of the balloon is 2.0 ms^-1 at the moment of release, how long does it take for the apple to reach 200 m below the balloon?
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OpenStudy (shamim):
h= ut+1/2 gt ^2
OpenStudy (shamim):
h=200
u=-2
g=9.8
OpenStudy (tukitw):
Do I need to consider the displacement of the balloon? Since its going up while the apple's falling.
OpenStudy (shamim):
I think the velocity of apple will b equal to the velocity of baloon
OpenStudy (shamim):
so the velocity of apple will b 2 ms^-1
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OpenStudy (shamim):
and it will b upward
OpenStudy (shamim):
ya u can consider the displacement of baloon
OpenStudy (tukitw):
So it's displacement of balloon + displacement of apple = 200?
OpenStudy (shamim):
baloon will go upward
but apple will go first upward and then it will go downward
OpenStudy (shamim):
actually the apple will go more than 200 m
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OpenStudy (tukitw):
Displacement of balloon - Upwards displacement of apple + Downwards displacement of apple = 200?
OpenStudy (shamim):
the displacement of apple will b 200 m
OpenStudy (shamim):
ya right
OpenStudy (tukitw):
Like this?
-2t - 2t^2 - (-2t + 4.9t^2) = 200
OpenStudy (shamim):
no
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OpenStudy (shamim):
200=-2 t+4.9 t^2
OpenStudy (shamim):
h= ut+(1/2) gt ^2
OpenStudy (tukitw):
So t = 6.60 s?
OpenStudy (shamim):
may b
OpenStudy (shamim):
I did not calculate
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