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 3.3, Problem 43PP
To determine

The velocity of the ball when it hits the sidewalk.

Expert Solution & Answer
Check Mark

Answer to Problem 43PP

  8.281m/s

Explanation of Solution

Given:

A ball is dropped from a window 3.5 m above the sidewalk.

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:

Since, the ball is dropped from the window, thus its initial velocity will be 0, that is,

  vinitial=0m/s

Acceleration acting on it will be due to gravity only. Thus,

  a=9.8m/s2

Now, using the above mentioned formula for the distance covered, the time period of the motion will be:

  dfinal=dinitial+vinitialΔt+12a(Δt)23.5=0+0(Δt)+12(9.8)(Δt)2Δt=0.845s

Then, the final velocity of the ball will be,

  vfinal=vinitial+aΔt=0+(9.8)(0.845)=8.281m/s

Conclusion:

Thus, the final velocity of the ball when it hits the sidewalk is 8.281m/s .

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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