Question

An airplane starts from rest and accelerates down a runway at 3.2 m/s2 for 26 s before it takes off. How far did the airplane travel on the runway before takeoff?

Answer 1

S = 1/2 a t^2 since the initial speed is zero

S = 1/2 * 3.2 m/s^2 * 26 sec^2 = 1082 meters

Check:

Av speed = 26 * 3.2 / 2 = 41.6 m/s

S = 41.6 * 26 = 1082 m