Question

The maximum range of a gun on horizontal terrain is 4 km. If g = 10 m/s2, then the muzzle velocity of shell is
20 m/s
200 m/s
2000 m/s
400 m/s​

Answer 1

Given

⚠ Maximum range on horizontal terrain= 4 km.

⚠ Gravitational acceleration = 10 m/s²

To find

⚠ Muzzle velocity of shell. a)20 m/s. b) 200 m/s. c) 2000 m/s. d) 400 m/s

Solution

Maximum range on horizontal terrain :

✒️ u² / g

Where,

• u refers to velocity (Here muzzle velocity)
• g refers to gravitational acceleration.

Now we have,

⇒ Maximum range = 4 km

⇒ Gravitational acceleration (g) = 10 m/s²

Substituting all values,

✒️ u² / 10 = 4 km

✒️ u² / 10 = 4 × 1000

✒️ u² /10 = 4000

✒️ u² = 4000 × 10

✒️ u² = 40000

✒️ u = √40000

✒️ u = 200 m/s

Therefore, muzzle velocity of shell = b) 200 m/s.