A gun mounted at ground level can fire bullets in any direction with the same launch speed. The maximum horizontal range attainable by a bullet is 6.4 m. Taking g = 10 m·s⁻², if the launch speed is N m·s⁻¹, find N.
Physics · Kinematics part-2 Projectile Motion · Ground to ground projectile
JEE Mains 2026 4 April Evening Shift

Question

A gun mounted at ground level can fire bullets in any direction with the same launch speed. The maximum horizontal range attainable by a bullet is 6.4 m. Taking g = 10 m·s⁻², if the launch speed is N m·s⁻¹, find N.

Physics · Kinematics part-2 Projectile Motion · Ground to ground projectile

JEE Mains 2026 4 April Evening Shift

G1 Physics · Accepted Answer

For a projectile launched and landing at the same level, the maximum horizontal range occurs at 45° and is R(max) = v² ÷ g. Given, 6.4 = v² ÷ 10. Therefore, v² = 64, v = 8 m·s⁻¹. Hence N = 8.