1.

The velocity time graph for the veticaly component of the velocity of a body thrown upwards from the ground and landing on the roof of a building is given in the figure.The height of the building is:

Answer»

50 m
40 m
20 m
30 m

Solution :`u=30 m//s`
`V=0m//s`
`t=3s "" S=h=?`
`v=u+a t`
`0= 30+a(3)`
`a=(-30)/(3)=-10m//s^(2)`
`V^(2)=u^(2)+2aS`
`O=(30)^(2) +2(-10)h`
`(-30)^(2)=-20h`
`h=(-30xx 3cancel0)/(-2cancel0)=45m`
From MAX. height to roof of building
`h=(u^(2))/(2g)=(10^(2))/(2xx10)=5m`
height of building `=H-h=45-5`
`= 40 m`


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