Physics SEM 1

 Q 1 )

The required take off speed of a commercial airplane is 12 North if dis commercial airplane take 30 seconds to covers the airport Runway Park calculate acceleration required during takeoff and runway length of airport

Solution

To calculate the acceleration required during takeoff, we need to use the formula:

acceleration = (final velocity - initial velocity) / time

Given:

Initial velocity (V0) = 0 m/s (assuming the airplane starts from rest)

Final velocity (V) = 12 m/s

Time (t) = 30 seconds

Plugging in the values into the formula, we have:

acceleration = (12 m/s - 0 m/s) / 30 s

acceleration = 12 m/s / 30 s

acceleration = 0.4 m/s²

Therefore, the acceleration required during takeoff is 0.4 m/s².

To calculate the runway length of the airport, we can use the kinematic equation:

distance = (initial velocity * time) + (0.5 * acceleration * time²)

Plugging in the values, we have:

distance = (0 m/s * 30 s) + (0.5 * 0.4 m/s² * (30 s)²)

distance = 0 m + (0.5 * 0.4 m/s² * 900 s²)

distance = 0 m + (0.2 m/s² * 900 s²)

distance = 0 m + 180 m

distance = 180 m

Therefore, the runway length of the airport is 180 meters.