   Chapter 2, Problem 34P

Chapter
Section
Textbook Problem

A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of −5.00 m/s2 as it comes to rest. (a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? (b) Can this plane land on a small tropical island airport where the runway is 0.800 km long?

(a)

To determine
The time required to stop the plane.

Explanation

Given Info: The initial velocity of the plane is 100m/s , the final velocity of the plane is 0 , and the acceleration is 5.00m/s2 .

Explanation:

The formula used to calculate the time required to stop the plane is,

Δt=vfvia

Here,

Δt is the time

vf is the final velocity of the plane

vi is the initial velocity of the plane

a is the acceleration of the plane

Substitute 100m/s for vi , 0 for vf , and 5

(b)

To determine
The safety of the plane within the distance.

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