Can gravity & non-gravity physics be unified when their forces move with different speed?

If U want the vertical Free-Fall speed from 100 m height, that's easy. V =?2gh =?2(9.8)(100) =?1960 = 44.3 m/s {vertical speed only} If U want this vertical speed combined {Free-Fall conditions} with the (presumed) horizontal speed = 100 mph = 44.7 m/s then total speed =?(44.3)²+(44.7)² =?3961 = 62.9 m/s {total speed}.

The formula relating speed, gravity and height is: V_final =?(V_initial² + 2gh) Key to variables: V_final = final speed V_initial = initial speed (100 mph in your example) g = acceleration due to gravity (see below) h = height (Note: Contrary to what Jim implied, this formula works regardless of the direction of the initial velocity.) The acceleration due to gravity (g) is a measure of the strength of the earth's gravity field. It equals 9.8 meters per second squared, or equivalently, 32 feet per second squared. In order to make the calculations come out right, you will have to do some conversion of units.

For example, your sample problem deals both with "miles" (as in 100 mph) and with "meters" (as in 100 m). You will have to choose one (I recommend "meters"), and convert the others. Likewise, you have time units of "hours" (as in mph) and "seconds" (as in the value of "g").

I recommend choosing "seconds" and converting the others. So in summary, you should convert 100 mph into "meters per second", and use "9.8 meters per second squared" as your value of "g". Then apply the above formula, and V_final will come out in "meters per second".

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