Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 8.7, Problem 27PPS

a.

To determine

To calculation:

Resultant velocity of Camilla.

a.

Expert Solution
Check Mark

Answer to Problem 27PPS

Resultant velocity of Camilla is 7.76m/s .

Explanation of Solution

Given information:

Camilla is running at 100m dash at speed of 6.7m/s .

Speed of wind from behind 1.2m/s

Calculation:

Initially find component form of wind vector.

  cos30°=y1.2y=1.2cos°y1.04sin30°=x1.2x=1.2.sin30x=0.6

The wind vector is 6,1.04

  Geometry, Student Edition, Chapter 8.7, Problem 27PPS , additional homework tip  1

Since Camilla is running in a straight line her x component is zero.

The Camilla’s vector is 0,6.7

Add the winds vector with the Camilla’s vector.

  .6+0,1.04+6.7.6,7.74

Now use Pythagoras theorem to find the resulting velocity.

  m=.62+7.742m=0.36+59.90m=60.29m=7.76m/s

Hence, Resultant velocity of Camilla is 7.76m/s .

b.

To determine

To calculation:

Time that Camilla will take to complete the dash.

b.

Expert Solution
Check Mark

Answer to Problem 27PPS

Time that Camilla will take to complete the dash is 12.89seconds .

Explanation of Solution

Given information:

Camilla is running at 100m dash at speed of 6.7m/s .

Speed of wind from behind 1.2m/s

Calculation:

Initially find component form of wind vector.

  cos30°=y1.2y=1.2cos°y1.04sin30°=x1.2x=1.2.sin30x=0.6

The wind vector is 6,1.04

  Geometry, Student Edition, Chapter 8.7, Problem 27PPS , additional homework tip  2

Since Camilla is running in a straight line her x component is zero.

The Camilla’s vector is 0,6.7

Add the winds vector with the Camilla’s vector.

  .6+0,1.04+6.7.6,7.74

Now use Pythagoras theorem to find the resulting velocity.

  m=.62+7.742m=0.36+59.90m=60.29m=7.76m/s

Now, use dimensional analysis for finding out the time hat Camilla will take,

  1s7.76m.100m112.89seconds

Hence, Time that Camilla will take to complete the dash is 12.89seconds .

Chapter 8 Solutions

Geometry, Student Edition

Ch. 8.1 - Prob. 4CYUCh. 8.1 - Prob. 5CYUCh. 8.1 - Prob. 6CYUCh. 8.1 - Prob. 7CYUCh. 8.1 - Prob. 8PPSCh. 8.1 - Prob. 9PPSCh. 8.1 - Prob. 10PPSCh. 8.1 - Prob. 11PPSCh. 8.1 - Prob. 12PPSCh. 8.1 - Prob. 13PPSCh. 8.1 - Prob. 14PPSCh. 8.1 - Prob. 15PPSCh. 8.1 - Prob. 16PPSCh. 8.1 - Prob. 17PPSCh. 8.1 - Prob. 18PPSCh. 8.1 - Prob. 19PPSCh. 8.1 - Prob. 20PPSCh. 8.1 - Prob. 21PPSCh. 8.1 - Prob. 22PPSCh. 8.1 - Prob. 23PPSCh. 8.1 - Prob. 24PPSCh. 8.1 - Prob. 25PPSCh. 8.1 - Prob. 26PPSCh. 8.1 - Prob. 27PPSCh. 8.1 - Prob. 28PPSCh. 8.1 - Prob. 29PPSCh. 8.1 - Prob. 30PPSCh. 8.1 - Prob. 31PPSCh. 8.1 - Prob. 32PPSCh. 8.1 - Prob. 33PPSCh. 8.1 - Prob. 34PPSCh. 8.1 - Prob. 35PPSCh. 8.1 - Prob. 36PPSCh. 8.1 - Prob. 37PPSCh. 8.1 - Prob. 38PPSCh. 8.1 - Prob. 39PPSCh. 8.1 - Prob. 40PPSCh. 8.1 - Prob. 41PPSCh. 8.1 - Prob. 42PPSCh. 8.1 - Prob. 43PPSCh. 8.1 - Prob. 44PPSCh. 8.1 - Prob. 45PPSCh. 8.1 - Prob. 46PPSCh. 8.1 - Prob. 47PPSCh. 8.1 - Prob. 48PPSCh. 8.1 - Prob. 49HPCh. 8.1 - Prob. 50HPCh. 8.1 - Prob. 51HPCh. 8.1 - 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Prob. 9PPSCh. 8.5 - Prob. 10PPSCh. 8.5 - Prob. 11PPSCh. 8.5 - Prob. 12PPSCh. 8.5 - Prob. 13PPSCh. 8.5 - Prob. 14PPSCh. 8.5 - Prob. 15PPSCh. 8.5 - Prob. 16PPSCh. 8.5 - Prob. 17PPSCh. 8.5 - Prob. 18PPSCh. 8.5 - Prob. 19PPSCh. 8.5 - Prob. 20PPSCh. 8.5 - Prob. 21PPSCh. 8.5 - Prob. 22PPSCh. 8.5 - Prob. 23HPCh. 8.5 - Prob. 24HPCh. 8.5 - Prob. 25HPCh. 8.5 - Prob. 26HPCh. 8.5 - Prob. 27HPCh. 8.5 - Prob. 28STPCh. 8.5 - Prob. 29STPCh. 8.5 - Prob. 30STPCh. 8.5 - Prob. 31STPCh. 8.5 - Prob. 32SPRCh. 8.5 - Prob. 33SPRCh. 8.5 - Prob. 34SPRCh. 8.5 - Prob. 35SPRCh. 8.5 - Prob. 36SPRCh. 8.5 - Prob. 37SPRCh. 8.5 - Prob. 38SPRCh. 8.5 - Prob. 39SPRCh. 8.5 - Prob. 40SPRCh. 8.5 - Prob. 41SPRCh. 8.5 - Prob. 42SPRCh. 8.5 - Prob. 43SPRCh. 8.5 - Prob. 44SPRCh. 8.5 - Prob. 45SRCh. 8.5 - Prob. 46SRCh. 8.5 - Prob. 47SRCh. 8.5 - Prob. 48SRCh. 8.6 - Prob. 1ACYPCh. 8.6 - Prob. 1BCYPCh. 8.6 - Prob. 2ACYPCh. 8.6 - Prob. 2BCYPCh. 8.6 - Prob. 3ACYPCh. 8.6 - Prob. 3BCYPCh. 8.6 - Prob. 4ACYPCh. 8.6 - Prob. 4BCYPCh. 8.6 - Prob. 5CYPCh. 8.6 - Prob. 6ACYPCh. 8.6 - Prob. 6BCYPCh. 8.6 - Prob. 1CYUCh. 8.6 - Prob. 2CYUCh. 8.6 - Prob. 3CYUCh. 8.6 - Prob. 4CYUCh. 8.6 - Prob. 5CYUCh. 8.6 - Prob. 6CYUCh. 8.6 - Prob. 7CYUCh. 8.6 - Prob. 8CYUCh. 8.6 - Prob. 9CYUCh. 8.6 - Prob. 10CYUCh. 8.6 - Prob. 11CYUCh. 8.6 - Prob. 12PPSCh. 8.6 - Prob. 13PPSCh. 8.6 - Prob. 14PPSCh. 8.6 - Prob. 15PPSCh. 8.6 - Prob. 16PPSCh. 8.6 - Prob. 17PPSCh. 8.6 - Prob. 18PPSCh. 8.6 - Prob. 19PPSCh. 8.6 - Prob. 20PPSCh. 8.6 - Prob. 21PPSCh. 8.6 - Prob. 22PPSCh. 8.6 - Prob. 23PPSCh. 8.6 - Prob. 24PPSCh. 8.6 - Prob. 25PPSCh. 8.6 - Prob. 26PPSCh. 8.6 - Prob. 27PPSCh. 8.6 - Prob. 28PPSCh. 8.6 - Prob. 29PPSCh. 8.6 - Prob. 30PPSCh. 8.6 - Prob. 31PPSCh. 8.6 - Prob. 32PPSCh. 8.6 - Prob. 33PPSCh. 8.6 - Prob. 34PPSCh. 8.6 - Prob. 35PPSCh. 8.6 - Prob. 36PPSCh. 8.6 - Prob. 37PPSCh. 8.6 - Prob. 38PPSCh. 8.6 - Prob. 39PPSCh. 8.6 - Prob. 40PPSCh. 8.6 - Prob. 41PPSCh. 8.6 - Prob. 42PPSCh. 8.6 - Prob. 43PPSCh. 8.6 - Prob. 44PPSCh. 8.6 - Prob. 45PPSCh. 8.6 - Prob. 46PPSCh. 8.6 - Prob. 47PPSCh. 8.6 - Prob. 48PPSCh. 8.6 - Prob. 49PPSCh. 8.6 - Prob. 50PPSCh. 8.6 - Prob. 51PPSCh. 8.6 - Prob. 52PPSCh. 8.6 - Prob. 53PPSCh. 8.6 - Prob. 54HPCh. 8.6 - Prob. 55HPCh. 8.6 - Prob. 56HPCh. 8.6 - Prob. 57HPCh. 8.6 - Prob. 58HPCh. 8.6 - Prob. 59STPCh. 8.6 - Prob. 60STPCh. 8.6 - Prob. 61STPCh. 8.6 - Prob. 62STPCh. 8.6 - Prob. 63SPRCh. 8.6 - Prob. 64SPRCh. 8.6 - Prob. 65SPRCh. 8.6 - Prob. 66SPRCh. 8.6 - Prob. 67SPRCh. 8.6 - Prob. 68SPRCh. 8.6 - Prob. 69SPRCh. 8.6 - Prob. 70SPRCh. 8.6 - Prob. 71SRCh. 8.6 - Prob. 72SRCh. 8.6 - Prob. 73SRCh. 8.7 - Prob. 1CYPCh. 8.7 - Prob. 2CYPCh. 8.7 - Prob. 3ACYPCh. 8.7 - Prob. 3BCYPCh. 8.7 - Prob. 4CYPCh. 8.7 - Prob. 1CYUCh. 8.7 - Prob. 2CYUCh. 8.7 - Prob. 3CYUCh. 8.7 - Prob. 4CYUCh. 8.7 - Prob. 5CYUCh. 8.7 - Prob. 6CYUCh. 8.7 - Prob. 7CYUCh. 8.7 - Prob. 8PPSCh. 8.7 - Prob. 9PPSCh. 8.7 - Prob. 10PPSCh. 8.7 - Prob. 11PPSCh. 8.7 - Prob. 12PPSCh. 8.7 - Prob. 13PPSCh. 8.7 - Prob. 14PPSCh. 8.7 - Prob. 15PPSCh. 8.7 - Prob. 16PPSCh. 8.7 - Prob. 17PPSCh. 8.7 - Prob. 18PPSCh. 8.7 - 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