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5 July, 10:10

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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  1. 5 July, 11:48
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    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.
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