An aircraft has a take-off speed 180km/h and length 250m from the start just before take-off a serious snag is detected in the engine and the aircraft failed to take-off. There is a wall at a distance 'd' = 230m ahead of the take-off point. The pilot applies breaks which produces as much retardation as the acceleration of the aircraft and succeeds in avoiding the crash on the wall. What is the reaction time of the pilot?? Please help me in solving it!! How to solve it? Method of solving it!!

Answer 1

d = 230 m = Required stopping distance.

Vo = 180km/h = 180,000m/3600s = 50m/s = Initial velocity before take-off.

V^2 = Vo^2 + 2a*d.
0 = 50^2 + 2a*230
-460a = 2500
a = -5.43m/s^2.

V = Vo + a*t.
0 = 50 - 5.43t
t = ?.