An aircraft carrier is sailing at a constant speed of 15.0m/s. it is suddenly spotted by an enemy bomber aircraft flying in the same direction as the ship is moving. the bomber is flying at a constant speed of 100 m/s at an altitude of 1.00 km above the carrier when it decides to attack the carrier. if the bomber drops its bomb at a horizontal distance pf 1.3 km from the aircraft carrier, will it score a direct hit?

Question

Physics

Kamryn Grant

9 May, 03:01

An aircraft carrier is sailing at a constant speed of 15.0m/s. it is suddenly spotted by an enemy bomber aircraft flying in the same direction as the ship is moving. the bomber is flying at a constant speed of 100 m/s at an altitude of 1.00 km above the carrier when it decides to attack the carrier. if the bomber drops its bomb at a horizontal distance pf 1.3 km from the aircraft carrier, will it score a direct hit?

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Answers (1)

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Steven Kirby · Answer 1

Relative velocity = 100 - 15 = 85 m / s

Distance to be covered up with this relative speed = 1.3km

= 1300m

If t be the time taken

85 x t = 1300

t = 1300 / 85

= 15.29

Time of fall of the bomb t₁ by 1 km

1000 = 1/2 g t₁²

t₁² = 2000/9.8

t₁ = 14.28 s

Since t₁≠ t₂

It will not score a direct hit.