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A large balloon filled with air is dropped from the ceiling of a school lab to the...

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saj-94 | Salutatorian

Posted August 23, 2013 at 6:04 AM via web

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A large balloon filled with air is dropped from the ceiling of a school lab to the floor about 10 m below.

Show the variation of the velocity of balloon with time.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 23, 2013 at 6:55 AM (Answer #1)

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A large balloon filled with air is dropped from the ceiling of a school lab to the floor about 10 m below. Assume the resistance by air to the motion of the balloon is negligible and the gravitational acceleration is 9.8 m/s^2.

The velocity of the balloon after time t is given by v = u + a*t, where u = 0 m/s as the balloon was initially at rest and a = 9.8 m/s^2.

v = 9.8*t^2

The variation of velocity of the balloon with time is shown in the following graph where the velocity is plotted on the y-axis and the time on the x-axis.

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