Actually, (cue in british accent) "its a simple matter of weight ratio. A 5-ounce bird could not carry a 1 pound coconut. That's my point." Plus you would have to know the "average air speed velocity of an unladen swallow."
All joking aside.... there are a number of variables that have to be assumed in order to answer your question. First off, as I post my non-math major answer we will have to assume that AH does NOT factor in air friction, and does NOT determine/factor terminal velocity. We also have to assume you are talking about level bombing where you have no vertical(either up or down) speed. But, if one assumes those factors then determining how far the bomb will travel is a matter of plugging in your altitude into a height-time formula to determine how low the bomb will remain in the air, then multiplying that time with your forward airspeed.
First you must determine how long it will take for the object (bomb) to drop from your altitude to reach the ground. That is expressed as:
Height=1/2(acceleration)*time^2 (where acceleration =32.15ft/sec/sec)
for example if you were flying straight and level at 1000ft, it would take the bomb 7.88 seconds to reach the ground.
Now assume you are traveling forward at 250mph.
Convert speed to feet/sec then mulitply that times the time the object(bomb) was in the air. That will give the total forward distance travelled. In this case a speed of 250mph equates to 366.67 ft/sec
So, the bomb is traveling at 366.67 ft/sec for a total of 7.88 secs. That equates to 2889.36 feet.
In other words even though you are only 1000 feet up, the bomb still travelled almost 2900 feet before it hit the ground. Plenty of time to arm.
You can play with the formulas to get an estimate of the bomb travel distances for each given speed. So, yes, I assume also that you could be significantly lower than 1K and still have time to arm your bombs.
NOTE: This of course does not reflect any downward angle. This distance formula only works based on flat level bombing.
ALSO Note: I was not a math major. If I am wrong, please disregard and drag me out behind the barn and shoot me.
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