Question

An engineer is designing the runway for a airport of the planes that will use the airport,the acceleration rate is likely 3m/s².The take off speed for this plane will be 65 m/s.Assuming this minimum acceleration, what is the minimum allowed ength for the runway

Answer 1

S is the length of the runway.
initial velocity = 0 = u
final velocity = 65 m/s = v
minimum acceleration = a = 3 m/sec²

v = u + a t  =>  t = v/a = 65/3 sec
s = u t + 1/2 a t² = 1/2 * 3 * 65²/3² = 704.6 meters
    
if the acceleration is more than 3 m/sec,  then s = v² / (2a)    will be shorter.