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

Question

The maximum range of a gun on horizontal plane is 16 km. If g =10 ms -2, then muzzle velocity of a shell is (A) 160 ms -1 (B) 200 √2 ms -1 (C) 400 ms -1 (D) 800 ms -1

Tardigrade Admin · Accepted Answer

( u 2/ g )=16 × 103 m u 2=16 × 103 × 10 u 2=16 × 104 u =400 m s -1

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

$160 m s^{- 1}$

$2002 m s^{- 1}$

$400 m s^{- 1}$

$800 m s^{- 1}$

$\frac{u ^{2}}{g} = 16 \times 1 0^{3} m$
$u^{2} = 16 \times 1 0^{3} \times 10$
$u^{2} = 16 \times 1 0^{4}$
$u = 400 m s^{- 1}$

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

160ms−1

2002​ms−1

400ms−1

800ms−1