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  4. The maximum range of a gun on horizontal terrain is 15 km. If g = 10 m/s2. What must be the muzzle velocity of the shell?

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Q. The maximum range of a gun on horizontal terrain is $15\, km$. If $g = 10\, m/s^2$. What must be the muzzle velocity of the shell?

Motion in a Plane

Solution:

Maximum range $=\frac{u^{2}}{g}$
$10 \times 15000=u^{2}$
$150000=u^{2}$
$100 \sqrt{15}=387.2 m / s$