Question

An engineer is designing the runway for an airport. Of the planes that will use the airport, the lowest acceleration rate is likely to be 3.6 m/s/s. The lowest take-off speed will be 61 m/s. Assuming these minimum parameters for the same plane, what is the minimum allowed length of the runway?

Answer 1

The minimum allowed length of the runway is approximately 3505.56 meters.

Step-by-step explanation:

To calculate the minimum allowed length of the runway, we need to use the kinematic equation:

v^2 = u^2 + 2as

Where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance.

Since the plane is starting from rest, the initial velocity is 0 m/s. The final velocity is the take-off speed, 61 m/s. The acceleration is 3.6 m/s^2.

Plugging these values into the equation, we can solve for s:

61^2 = 0^2 + 2(3.6)s

s = 3505.56 m

Therefore, the minimum allowed length of the runway is approximately 3505.56 meters.