Book Worm
You also neglect the wind in your assessment. A headwind makes matters worse still. Imagine an aircraft that rotates at 60 knots taking off into a 25 knot headwind. It will reach an IAS of 30 knots almost immediately in the take-off roll, but has a very long way to go before it gets airborne.
Ok, if I understand this correctly you are saying a headwind on takeoff makes take off distance
Longer!
You are in effect getting the first 25kts for free and the aircraft would only need a 35kt ground speed to become airbourne. Granted these 35 kts may not be gained as fast as the first 35kts in a nil wind situation, but remember the drag from the undercarriage also increases with the square of the speed so there is a drag saving to be had.
Once airbourne the aircraft will climb at a steeper angle into wind and this will help obstacle avoidance - but that's another thread..
Reading the air accident reports I can't recall one where a light aircraft ran off the end of the strip into a stiff headwind!
Kingy