As per the question,
The speed of the balloon is (u)=12m/sec
distance d= 14m
Acceleration due to gravity(g)=9.8 "m\/sec^2"
let v is the final velocity, which will be zero at the top of the projection.
Now, "v^2=u^2-2gh"
"0=12^2-2\\times9.8\\times h"
"h=\\dfrac{144}{19.6}=7.35m"
So, Maximum distance from the point side of the fence="\\sqrt{h^2+d^2}=\\sqrt{7.35^2+14^2}"
="\\sqrt{250.02}"
"=15.8m"
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