Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN: 9780078807213
Author: Paul W. Zitzewitz
Publisher: Glencoe/McGraw-Hill
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Chapter 3.2, Problem 36SSC
To determine

To Calculate: The distance travelled by the in-line skater.

Expert Solution & Answer
Check Mark

Answer to Problem 36SSC

  33.74m

Explanation of Solution

Given:

The in-line skater first accelerates from 0 m/s to 5.0 m/s in 4.5 s , and then moves at this constant speed for another 4.5 s .

Formula used:

Final velocity with constant acceleration can be obtained by:

  vfinal=vinitial+aΔt

Where, Δt is the time taken, a is acceleration and v represents velocity.

The distance traveled by an object with a constant acceleration can be obtained by:

  dfinal=dinitial+vinitialΔt+12aΔt2

Here, d represents displacement, v represents velocity, t represents time and a is the acceleration.

Calculation:

Acceleration can be calculated as follows:

  vfinal=vinitial+aΔt5=0+a(4.5)a=1.11m/s2

Now, assume that the initial position of the car is dinitial=0m , then the distance travelled in first 4.5 s be:

  d1=dinitial+vinitialΔt+12a(Δt)2d1=0+0(4.5)+12(1.11)(4.5)2d1=11.24m

Now, the skater continues to move at the constant final velocity for another 4.5 s , then the distance travelled during this time is

  d2=vfinalΔt=5×4.5=22.5m

Then, the total distance covered by the skater is,

  dt=d1+d2=(11.24+22.5)m=33.74m

Conclusion:

Thus, the total distance travelled by the skater is 33.74m .

Chapter 3 Solutions

Glencoe Physics: Principles and Problems, Student Edition

Ch. 3.1 - Prob. 11SSCCh. 3.1 - Prob. 12SSCCh. 3.1 - Prob. 13SSCCh. 3.1 - Prob. 14SSCCh. 3.1 - Prob. 15SSCCh. 3.2 - Prob. 16PPCh. 3.2 - Prob. 17PPCh. 3.2 - Prob. 18PPCh. 3.2 - Prob. 19PPCh. 3.2 - Prob. 20PPCh. 3.2 - Prob. 21PPCh. 3.2 - Prob. 22PPCh. 3.2 - Prob. 23PPCh. 3.2 - Prob. 24PPCh. 3.2 - Prob. 25PPCh. 3.2 - Prob. 26PPCh. 3.2 - Prob. 27PPCh. 3.2 - Prob. 28PPCh. 3.2 - Prob. 29PPCh. 3.2 - Prob. 30PPCh. 3.2 - Prob. 31PPCh. 3.2 - Prob. 32PPCh. 3.2 - Prob. 33SSCCh. 3.2 - Prob. 34SSCCh. 3.2 - Prob. 35SSCCh. 3.2 - Prob. 36SSCCh. 3.2 - Prob. 37SSCCh. 3.2 - Prob. 38SSCCh. 3.2 - Prob. 39SSCCh. 3.2 - Prob. 40SSCCh. 3.3 - Prob. 41PPCh. 3.3 - Prob. 42PPCh. 3.3 - Prob. 43PPCh. 3.3 - Prob. 44PPCh. 3.3 - Prob. 45PPCh. 3.3 - Prob. 46PPCh. 3.3 - Prob. 47SSCCh. 3.3 - Prob. 48SSCCh. 3.3 - Prob. 49SSCCh. 3.3 - Prob. 50SSCCh. 3.3 - Prob. 51SSCCh. 3.3 - Prob. 52SSCCh. 3 - Prob. 53ACh. 3 - Prob. 54ACh. 3 - Prob. 55ACh. 3 - Prob. 56ACh. 3 - Prob. 57ACh. 3 - Prob. 58ACh. 3 - Prob. 59ACh. 3 - Prob. 60ACh. 3 - Prob. 61ACh. 3 - Prob. 62ACh. 3 - Prob. 63ACh. 3 - Prob. 64ACh. 3 - Prob. 65ACh. 3 - Prob. 66ACh. 3 - Prob. 67ACh. 3 - Prob. 68ACh. 3 - Prob. 69ACh. 3 - Prob. 70ACh. 3 - Prob. 71ACh. 3 - Prob. 72ACh. 3 - Prob. 73ACh. 3 - Prob. 74ACh. 3 - Prob. 75ACh. 3 - Prob. 76ACh. 3 - Prob. 77ACh. 3 - Prob. 78ACh. 3 - Prob. 79ACh. 3 - Prob. 80ACh. 3 - Prob. 81ACh. 3 - Prob. 82ACh. 3 - Prob. 83ACh. 3 - Prob. 84ACh. 3 - Prob. 85ACh. 3 - Prob. 86ACh. 3 - Prob. 87ACh. 3 - Prob. 88ACh. 3 - Prob. 89ACh. 3 - Prob. 90ACh. 3 - Prob. 91ACh. 3 - Prob. 92ACh. 3 - Prob. 93ACh. 3 - Prob. 94ACh. 3 - Prob. 95ACh. 3 - Prob. 96ACh. 3 - Prob. 97ACh. 3 - Prob. 98ACh. 3 - Prob. 100ACh. 3 - Prob. 101ACh. 3 - Prob. 102ACh. 3 - Prob. 103ACh. 3 - Prob. 104ACh. 3 - Prob. 105ACh. 3 - Prob. 1STPCh. 3 - Prob. 2STPCh. 3 - Prob. 3STPCh. 3 - Prob. 4STPCh. 3 - Prob. 5STPCh. 3 - Prob. 6STPCh. 3 - Prob. 7STPCh. 3 - Prob. 8STPCh. 3 - Prob. 9STPCh. 3 - Prob. 10STP
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