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 m/s. The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?

Answer 1

To find the minimum runway length for an airplane's takeoff given an acceleration rate of 3 m/s^2 and a takeoff speed of 65 m/s, the kinematic equation is used, resulting in a minimum runway length of 705.83 meters.

Step-by-step explanation:

To determine the minimum runway length required for a plane to reach takeoff speed with the lowest acceleration rate, we can use the kinematic equation:

d = v2 / (2a)

Where:

• 
  
• d is the minimum runway distance,
• 
  
• v is the takeoff speed, and
• 
  
• a is the acceleration rate.

Given that:

• 
  
• The takeoff speed v = 65 m/s,
• 
  
• The acceleration rate a = 3 m/s2,

We can calculate the minimum runway distance as follows:

d = (65 m/s)2 / (2 × 3 m/s2)

This gives:

d = 4225 m2/s2 / 6 m/s2

Therefore:

d = 705.83 m

Thus, the minimum runway length should be 705.83 meters.