What percentage of the takeoff velocity did the plane gain when it reached the midpoint of the runway?

Constant acceleration?

V^2=2ad
V= sqrt(2ad)

when d is one half, then sqrt of .5 is .707 or 71 percent of final velocity when half way.

Well, let's see. If the plane reached the midpoint of the runway, I guess we could say it's halfway there! So, in terms of percentage, it would have gained... *drumroll*... 50% of its takeoff velocity! Not bad, right? Just remember, it's all downhill from there... well, hopefully not literally! 😄

To determine the percentage of the takeoff velocity gained when the plane reached the midpoint of the runway, we need some additional information. Specifically, we need the starting velocity and the ending velocity of the plane at the midpoint.

Please provide these velocity values (in the same units, e.g., meters per second) so that I can proceed with the calculation.

To determine the percentage of takeoff velocity gained by the plane when it reached the midpoint of the runway, we need to have the initial takeoff velocity and the final velocity at the midpoint of the runway.

To find this information, you would typically need more details or data on the airplane, such as its acceleration or the time it took to reach the midpoint. Without this information, it is not possible to provide a specific answer.

However, I can guide you on how to calculate the percentage of velocity gained once you have the necessary data. Here's the general approach:

1. Determine the initial takeoff velocity (Vi) of the plane.
2. Measure or calculate the final velocity (Vf) at the midpoint of the runway.
3. Calculate the change in velocity (∆V) by subtracting the initial velocity from the final velocity (∆V = Vf - Vi).
4. Calculate the percentage of velocity gained using the formula:
Percentage of velocity gained = (∆V / Vi) * 100.

Remember, this calculation depends on having accurate and specific values for initial and final velocities, which are crucial for calculating the percentage of gained velocity.