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An aeroplane is flying in a horizontal d...

An aeroplane is flying in a horizontal direction with a velocity `600 km//h` at a height of 1960 m. When it is vertically above the point A on the ground, a body is dropped from it. The body strikes the ground at point B. Calculate the distance AB.

A

3.333km

B

33.33km

C

333.3km

D

33.33km

Text Solution

Verified by Experts

The velocity of plane in horizontal direction
`v _(z)600 km //hr = (500//3)m//s `
Initial viloacity of body in vert ical direction
`v_(z)= 0`
If the taken by the body to reach the the earth ,then frrom relation
`s= ut + (1//2) at ^(2)`
we have
`h =(1//2)g^(2)``implies sqrt((2h)/(g))= sqrt ((2xx1960)/(98))=20sec`
`:.`Distanse traversed by body horizonaltal direction
AB`=v^(2)t`
` implies (500//3) xx20 = 3.333kms`
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