How Long Does It Take a Plane to Stop? Deceleration Calculation

To find out how long it takes for the plane to come to a complete stop, we can use the formula:

final velocity = initial velocity + (acceleration × time)

Since the plane comes to a complete stop, the final velocity will be 0 m/s. The initial velocity is given as 24 m/s, and the acceleration is given as -3.9 m/s² (negative because it's decelerating).

0 = 24 + (-3.9 × time)

Simplifying the equation:

-24 = -3.9 × time

Dividing both sides by -3.9:

time = -24 / -3.9

time ≈ 6.153 seconds

So, it takes approximately 6.153 seconds for the plane to come to a complete stop.

To find out how far the plane travels, we can use the equation:

distance = initial velocity × time + (1/2) × acceleration × time²

Since the plane comes to a complete stop, the final velocity is 0 m/s. The initial velocity is given as 24 m/s, and the acceleration is -3.9 m/s² (negative because it's decelerating). The time is 6.153 seconds.

distance = 24 × 6.153 + (1/2) × (-3.9) × (6.153)²

Calculating the equation:

distance ≈ 147.672 + (1/2) × (-3.9) × 37.891

distance ≈ 147.672 + (-72.096)

distance ≈ 75.576 meters

So, the plane travels approximately 75.576 meters.