COLLEGE PHYSICS-CONNECT ACCESS
COLLEGE PHYSICS-CONNECT ACCESS
5th Edition
ISBN: 9781260486834
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 3, Problem 21P

(a)

To determine

The average speed the driver drives 30.0° south of the west for 48.0min.

(a)

Expert Solution
Check Mark

Answer to Problem 21P

The average speed the driver drives 30.0° south of the west for 48.0min 70mi/h_

Explanation of Solution

Let +x axis represent east and +y axis represent north

Write the expression for velocity.

  v=dt        (I)

Here, v is the velocity, d is the distance, and t is the time.

Conclusion:

Substitute, 55mi/h for v, and 1.20h for t in equation (I) to the distance travelled in 1.20h.

  55mi/h=d11.20hd1=66mi

The total distance is 122mi, hence the remaining distance is.

  d2=122mi66mi=56mi

Substitute, 56mi for d, and 48min for t in equation (I) to find the speed for remaining 48min.

  v2=56mi48min×1h60min=70mi/h

Therefore, the average speed the driver drives 30.0° south of the west for 48.0min 70mi/h_.

(b)

To determine

The average velocity of entire trip.

(b)

Expert Solution
Check Mark

Answer to Problem 21P

The average velocity of entire trip is 59mi/h_, in a direction 13.7°south of west _.

Explanation of Solution

Write the expression for average velocity.

  |vav|=|Δr|Δt        (II)

Here, |Δr| is the displacement vector.

The total displacement can be divided into two, first for distance travelled in 1.20h, and second is the distance travelled in 48min.

Write the expression for displacement vector for first 1.20h.

  Δr1=x1i^+y1j^=66i^

Write the expression for displacement vector for second 48min.

  Δr2=x2i^+y2j^=56cos30°i^56sin30°j^=48.5i^28j^

Hence the vector representation of total displacement vector is.

  Δr=Δr1i^+Δr2j^=(6648.5)i^28j^=114.5i^28j^

Write the expression for the magnitude of displacement vector.

  |Δr|=Δr12+Δr22        (III)

Write the expression for the direction of displacement vector.

  θ=tan1Δr2Δr1        (IV)

Conclusion:

Substitute, 114.5 for Δr1, and 28 for Δr2 in equation (III) to find the magnitude of displacement vector.

  |Δr|=(114.5)2+(28)2=117.9mi

Substitute, 114.5 for Δr1, and 28 for Δr2 in equation (III) to find the direction of displacement vector.

  θ=tan1|28||114.5|=13.7°

Substitute, 117.9mi for Δr, and 2h for Δt in equation (IV) to find the average velocity of entire trip.

  |vav|=117.9mi2h=59mi/h

Therefore, the average velocity of entire trip is 59mi/h_, in a direction 13.7°south of west _.

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Chapter 3 Solutions

COLLEGE PHYSICS-CONNECT ACCESS

Ch. 3.3 - Prob. 3.6PPCh. 3.3 - Prob. 3.3BCPCh. 3.3 - Prob. 3.7PPCh. 3.3 - Prob. 3.3CCPCh. 3.4 - The wheels fall off Beatrice’s suitcase, so she...Ch. 3.4 - Prob. 3.9PPCh. 3.4 - Prob. 3.10PPCh. 3.4 - Prob. 3.11PPCh. 3.5 - Prob. 3.5CPCh. 3.5 - Prob. 3.12PPCh. 3.5 - Prob. 3.13PPCh. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - Prob. 7CQCh. 3 - Prob. 8CQCh. 3 - Prob. 9CQCh. 3 - Prob. 10CQCh. 3 - Prob. 11CQCh. 3 - Prob. 12CQCh. 3 - Prob. 13CQCh. 3 - Prob. 14CQCh. 3 - Prob. 15CQCh. 3 - Tell whether each of the following objects has a...Ch. 3 - Prob. 17CQCh. 3 - Prob. 18CQCh. 3 - Prob. 21CQCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Multiple-Choice Questions 7–16. A jogger is...Ch. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 21MCQCh. 3 - Prob. 22MCQCh. 3 - Prob. 23MCQCh. 3 - Prob. 24MCQCh. 3 - Prob. 25MCQCh. 3 - Prob. 26MCQCh. 3 - Prob. 27MCQCh. 3 - Prob. 28MCQCh. 3 - Prob. 29MCQCh. 3 - Prob. 30MCQCh. 3 - Prob. 31MCQCh. 3 - Prob. 32MCQCh. 3 - Prob. 33MCQCh. 3 - Prob. 34MCQCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - You will be hiking to a lake with some of your...Ch. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - Prob. 68PCh. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Prob. 72PCh. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75PCh. 3 - Prob. 76PCh. 3 - Prob. 77PCh. 3 - Prob. 78PCh. 3 - Prob. 79PCh. 3 - Prob. 80PCh. 3 - Prob. 82PCh. 3 - Prob. 83PCh. 3 - Prob. 84PCh. 3 - Prob. 86PCh. 3 - Prob. 87PCh. 3 - Prob. 88PCh. 3 - Prob. 89PCh. 3 - Prob. 91PCh. 3 - Prob. 92PCh. 3 - Prob. 93PCh. 3 - An elevator starts at rest on the ninth floor. At...Ch. 3 - Prob. 95PCh. 3 - Prob. 96PCh. 3 - Prob. 98PCh. 3 - Prob. 99PCh. 3 - Prob. 100PCh. 3 - Prob. 101PCh. 3 - Prob. 102PCh. 3 - Prob. 103PCh. 3 - Prob. 104PCh. 3 - Prob. 105PCh. 3 - Prob. 106PCh. 3 - Prob. 107PCh. 3 - Prob. 108PCh. 3 - Prob. 109PCh. 3 - Prob. 110PCh. 3 - Prob. 112PCh. 3 - Prob. 113PCh. 3 - Prob. 114PCh. 3 - Prob. 115PCh. 3 - Prob. 116PCh. 3 - Prob. 117PCh. 3 - Prob. 118PCh. 3 - Prob. 119PCh. 3 - Prob. 120PCh. 3 - Prob. 121PCh. 3 - Prob. 122PCh. 3 - Prob. 123PCh. 3 - Prob. 124PCh. 3 - Prob. 126P
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