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a ball is thrown vertically upwards with a velocity 'u' from the balloon descending with a constant velocity 'v'.. the ball will pass by the balloon after what time?

a ball is thrown vertically upwards with a velocity 'u' from the balloon descending with a constant velocity 'v'.. the ball will pass by the balloon after what time?

Grade:

1 Answers

Rahul askIITiansExpert.IITR
110 Points
10 years ago

the relative velocity of ball wrt ground is (u-v)

it will go up a distance of (u-v)^2/2*g

and then come to the same height after a time period of (u-v)/g

during this time interval the balloon would be at -(u-v)v/g

now take the rest of the time to be t

during this time the ball comes down a distance of (u-v)v/g + vt

put this distnace into -gt^2/2

a quadriatic equation in t would come solve it for a positve t

now add t with (u-v)/g

this will be the answer

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