Time for a bomb to hit the ground

AI Thread Summary
To determine how long it takes for a bomb to hit the ground when dropped from an altitude of 490 meters, the vertical motion must be analyzed separately from the horizontal motion. The bomb's vertical displacement is 490 meters, and the acceleration due to gravity is 9.8 m/s². Using the kinematic equation for vertical motion, the time can be calculated, leading to an answer of approximately 10 seconds. The horizontal velocity of 75 m/s does not affect the time it takes to fall, as horizontal and vertical motions are independent. Understanding the separate components of motion is crucial for solving such problems accurately.
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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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