Question

A landing airplane makes contact with the runway with a speed of 78.0m/s and moves toward the south. After 18.5 seconds, the airplane comes to rest, What is the average acceleration of the airplane during the landing?

Answer 1

Acceleration = 4.22m/s², North.

Step-by-step explanation:

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

`Acceleration (a) = (final \; velocity - initial \; velocity)/(time)`

`a = (v - u)/(t)`

Where,

a is acceleration measured in
`ms^(-2)`

v and u is final and initial velocity respectively, measured in
`ms^(-1)`

t is time measured in seconds.

Given the following data;

Time, t = 18.5secs

Final velocity = 78m/s

Initial velocity = 0

Substituting into the equation;

`a = (78 - 0)/(18.5)`

`a = (78)/(18.5)`

Acceleration, a = 4.22m/s²

Therefore, the average acceleration of the airplane during the landing is 4.22m/s² due North.