A landing airplane makes contact with the runway with a speed of 75.0 m/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? A)2.11 m/s², north B)2.11 m/s², south C)4.05 m/s², north D)4.05 m/s², south E)14.3 m/s², north

Question

Quizplus · Accepted Answer

First, we need to find the distance that the airplane traveled before coming to rest. We can use the equation:

d = vi * t + 0.5 * a * t^2

where d is the distance, vi is the initial velocity, t is the time, and a is the acceleration.

Since the airplane comes to rest, its final velocity is 0. So we have:

0 = 75.0 m/s + a * 18.5 s

Solving for a, we get:

a = -4.05 m/s^2

The negative sign indicates that the acceleration is in the opposite direction of the airplane's initial velocity, which is north. Therefore, the correct answer is (C) 4.05 m/s^2, north.

A Landing Airplane Makes Contact with the Runway with a Speed