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Question: A bomb is dropped on an enemy post by an aeroplane flying with a horizontal velocity of 60 km/hr and...

A bomb is dropped on an enemy post by an aeroplane flying with a horizontal velocity of 60 km/hr and at a height of 490 m. How far the aeroplane must be from the enemy post at time of dropping the bomb, so that it may directly hit the target. (g = 9.8 m/s2)

A

1003m\frac{100}{3}m

B

5003m\frac{500}{3}m

C

2003m\frac{200}{3}m

D

Zero

Answer

5003m\frac{500}{3}m

Explanation

Solution

S=u×t=u×2hgS = u \times t = u \times \sqrt{\frac{2h}{g}} =60×518×2×4909.8=5003m= 60 \times \frac{5}{18} \times \sqrt{\frac{2 \times 490}{9.8}} = \frac{500}{3}m