Determine the length of the plane’s runway if it is known that the acceleration time is t = 30 s.

Determine the length of the plane’s runway if it is known that the acceleration time is t = 30 s. and the speed of the aircraft during takeoff is 162 km / h.

Given:
t = 30c
U = 162km / h 162: 3.6 = 45 (m / s)
Decision:
S = Ut
Speed equation: U = Vo + at
Since the plane started to move, then Uo = o (m / s)
A = U / t
A = 45/30 = 1.5 (m / s ^ 2)
Equation of motion:
S = So + Vot + at ^ 2/2
So = 0 and Uo = 0, so S = at ^ 2/2
S = 1.5 * 30 ^ 2/2 = 1.5 * 60/2 = 1.5 * 30 = 45 (km)
Answer: S = 45km