Time for a bomb to hit the ground

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SUMMARY

The discussion focuses on calculating the time it takes for a bomb dropped from an airplane flying at a constant horizontal speed of 75 m/s and an altitude of 490 m to hit the ground. The correct approach involves using kinematic equations that account for both horizontal and vertical components of motion. The time of descent is determined to be approximately 10 seconds, aligning with the provided answers section. Participants emphasize the importance of understanding the distinction between horizontal and vertical motion when solving such problems.

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  • Understanding of kinematic equations in physics
  • Knowledge of vertical and horizontal motion components
  • Familiarity with gravitational acceleration (9.8 m/s²)
  • Basic algebra for manipulating equations
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Homework Statement


Bush fir patrols sometimes drop small bomb to start a controlled burn off from aeroplanes. Peter was flying his over a forest at constant horizontal speed of 75m/s and at contsant altitude of 490m when he dropped the bomb.
A) how long does it take for the bomb to hit the ground?

Homework Equations


we have a displacement (490m) , an acceleration (gravity, 9.8 m/s/s) and a velocity (75m/s), so v = u + at could be transposed to give time, however I am hopeless at this. please advise..

The Attempt at a Solution


after some fiddling around with other formulae such as t = s/v = 6.53 s.. which according to the answers section is wrong.. they say 10s.. is this right? please advise me on this ASAP please..
 
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When the bomb is dropped from the aeroplane it has some horizontal velocity which is equal to the velocity of the aeroplane i.e. 75 m/s.
Use concepts of horizontal and vertical components of velocity.Use accln along x axis=0 and accln along y-axis = g.Use s[y]: 490 m.

Now use simple kinematic equations.

suggestion= the simple basic formulae are very important but in these kinda questions they will not be aplicable becoz as there are horizontal and vertical components of velocityand accln involved.
 

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