Projectile from a plane: Horizontal range of a dropped bomb. A plane flies horizontally at 600 km/h at a height of 1,960 m. When vertically above point A, a bomb is released and strikes at point B. Find distance AB. Choose the correct option.

Given data

• Height, h = 1960 m
• Horizontal speed, v = 600 km/h = 600 × (1000/3600) = 166.67 m/s
• Acceleration due to gravity, g = 9.8 m/s² (downward)

Step 1: Time of fallh = (1/2) g t² ⇒ t = √(2h/g) = √(2 × 1960 / 9.8) = √400 = 20 s

Step 2: Horizontal distanceRange R = v × t = 166.67 × 20 = 3333.4 m ≈ 3.33 km

VerificationUnits consistent; height chosen to make t an integer (20 s), confirming the arithmetic.

Final Answer3.33 km (approximately)