   Chapter 3, Problem 1P

Chapter
Section
Textbook Problem

An airplane in a holding pattern flies at constant altitude along a circular path of radius 3.50 km. If the airplane rounds half the circle in 1.50 × 102 s, determine the magnitude of its (a) displacement and (b) average velocity during that time, (c) What is the airplane’s average speed during the same time interval?

(a)

To determine
The displacement of the airplane when it completes half the circle.

Explanation

Given info: The radius of the circle is 3.50km . The time taken to cover half the circle is 1.50×102s

Explanation:

Displacement is the shortest distance between two points. When the airplane travels half a circle, the displacement is equal to twice the radius of the circle.

The displacement is given by,

Δr=2R

Here,

R is the radius of the circle

Substitute 3.50km for R to find Δr .

Δr=2(3

(b)

To determine
The average velocity of the airplane when it completes half the circle.

(c)

To determine
The average speed of the airplane when it completes half the circle.

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