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A bomb is dropped on an enemy post by an aeroplane flying with a horizontal velocity of 60 km per hour 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

Asked by thamburuesanthosh 28th March 2018, 10:51 PM
Answered by Expert
Answer:
 
When the bomb is dropped from fighter plane, horizontal component speed u is 60 km/hr, vertical speed v is zero(assumed the bomb is just dropped). After ejected out, the bomb is subjected to acceleration in vertical direction due to gravity, but horizontal speed remains same.
 
time taken t by the bomb to reach ground level is given by begin mathsize 12px style t space equals space square root of fraction numerator 2 h over denominator g end fraction end root space equals space square root of fraction numerator 2 cross times 490 over denominator 9.8 end fraction end root space equals space 10 space s end style
speed in horizontal direction u = 60 km/hr = (60×5)/18 m/s = 50/3 m/s
 
distance to be travelled in horizontal direction = (50/3)×10 = 500/3 m = 166.6 m
Answered by Expert 29th March 2018, 7:58 AM
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