The runway should be 253.5m for a light plane that needs to reach a speed of 39 m/s for takeoff.
<h3>Concept of acceleration</h3>
The rate at which the speed and direction of a moving object vary over time is called as acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates.
Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
<h3>What is acceleration?</h3>
In physics, acceleration is the rate at which the velocity of an object changes in relation to time.
According to Newton’s Second Law, the sum of all forces acting on an item results in its acceleration.
Meter per second squared (m s2) is the unit of acceleration used in the SI system.
<h3>Calculation</h3>
We know from the equation,
V^2 = u^2 + 2as → 1
Here a = acceleration of the light plane
v = final velocity of the light plane
u = initial velocity of the light plane
s = length of the runway
Then we also know that
s = (v^2 - u^2) / 2a → 2
v = 39m/s
u = 0m/s
a = 3 m/s^2
Then substituting these values in equation 2,
s = (39^2 - 0) / (2x3)
s = 1521/6
s = 253.5 m
The runway needed is 253.5m long.
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