A missile is launched with a speed of 75 ms-1 at an angle of 30° above the surface of a w
A missile is launched with a speed of 75 ms-1 at an angle of 30° above the surface of a warship. Find the horizontal range achieved by the missile. Ignore the effects of air resistance. [Take g = 10 ms-1]
A missile is launched with a speed of 75 ms-1 at an angle of 30° above the surface of a warship. Find the horizontal range achieved by the missile. Ignore the effects of air resistance. [Take g = 10 ms-1]
The range of a projectile is R = v² sin 2θ / g.
Here v = 75 m/s, θ = 30°, so sin 60° = 0.866. R = (75² × 0.866)/10 = (5625 × 0.866)/10 ≈ 487 m.
The 195 m option is a common slip from using sin 30° = 0.5 and dividing wrongly; always double the angle first.
Was this explanation helpful?
Something wrong or missing? Tell us — we read every report and fix issues fast.