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A boy kicks a football horizontally from...

A boy kicks a football horizontally from the roof of a building of height 10m, . If the line joining the initial position of the football and the point where it hits the ground make an angle of `45^(@)` with the ground, then find the displacement of the football

Text Solution

Verified by Experts

The situation is as shown in the following diagram.

The height of the building is represented by AO. The football is hit from point A and it hits the ground at B.
Triangle OAB is an isosceles right-angled triangle. Therefore, AO = OB = 10 m
`AB= sqrt(OA^(2)+OB^(2)) = sqrt(10^(2)+10^(2))=sqrt(200)`
`AB= 10sqrt(2)m`
Displacement `= 10sqrt(2)m`
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