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  4. The maximum range of a gun on horizontal plane is 16 km. If g =10 ms -2, then muzzle velocity of a shell is

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Q. The maximum range of a gun on horizontal plane is $16 \,km$. If $g =10 \,ms ^{-2}$, then muzzle velocity of a shell is

KCETKCET 2021Motion in a Plane

Solution:

$\frac{ u ^{2}}{ g }=16 \times 10^{3} m$
$u ^{2}=16 \times 10^{3} \times 10$
$u ^{2}=16 \times 10^{4}$
$u =400 \,m s ^{-1}$