A man runs across the roof of a tall building and jumps horizontally on to the (lower) roof of an adjacent building. If his speed in `9ms^-1` and the horizontal distance between the buildings is 10 m and the height difference between the roof is 9m, will he is able to land on the next buildings? (take `g=10ms^-2`)

Explanation

Given that,
initial speed, `u=9ms^-1,g=10m//s^2`
Height difference between the roofs,
h=9 m
Horizontally distance between two buildings , d=10 m
Time of flight, `T=sqrt((2h)/g)=sqrt((2times9)/10)`
`=sqrt1.8 =1.341 s`
Range of the man =`R times u times T=9 times 1.341`
=12.069 m
Since `R gt d` the man will be able to land on the next building.