   Chapter 2, Problem 13P

Chapter
Section
Textbook Problem

A person lakes a trip, driving with a constant speed of 89.5 km/h, except, for a 22.0-min rest stop. If the person’s average speed is 77.8 km/h, (a) how much time is spent on the trip and (b) how far does the person travel?

(a)

To determine
The time spend on the trip.

Explanation

Given Info:

The velocity of the person is 89.5km/h .

The average velocity of the person is 77.8km/h .

The time took at rest is 2.00min .

Explanation:

Formula to calculate the total time elapsed is,

t=t1+t2

• t is the total time elapsed
• t1 is the time taken for covering the distance
• t2 is the time spent at rest

Formula to calculate the total distance covered is,

Δx=v1t1 (I)

• Δx is distance covered
• v1 is the driving speed

Formula to calculate the total distance covered is,

Δx=v¯(t1+t2) (II)

• v¯ is the average speed

Equating I and II for the distance covered gives,

v1t1=v¯(t1+t2)

Rearrange the equation in terms of t1 .

t1=v¯t2v1v¯

Therefore, the total time elapsed for the trip is,

t=v¯t2v1v¯+t2

Substitute 89

(b)

To determine
The distance travelled by the person.

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