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# Bryan Allen pedaled a human-powered aircraft across the ISBN: 9781938168000 42

## Solution for problem 52PE Chapter 3

College Physics | 1st Edition

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Problem 52PE

Bryan Allen pedaled a human-powered aircraft across the English Channel from the cliffs of Dover to Cap Gris-Nez on June 12, 1979. (a) He flew for 169 min at an average velocity of 3.53 m/s in a direction 45º south of east. What was his total displacement? (b) Allen encountered a headwind averaging 2.00 m/s almost precisely in the opposite direction of his motion relative to the Earth. What was his average velocity relative to the air? (c) What was his total displacement relative to the air mass?

Step-by-Step Solution:

Solution to 52PE

Step 1 of 3</p>

We need to find the total displacement of Bryan while he was crossing the English Channel with an average velocity of 3.53m/s along south of east for 169 minutes. We also need to compute the average velocity of Bryan relative to air if he encounters a headwind of 2m/s in direction opposite to his motion. The total displacement relative to the air mass also have to be calculated.

To compute the above mentioned parameters, we need to resolve the velocity vector into its components. The components of velocity are as follows:  Where is the velocity relative to earth in east direction.

Step 2 of 3</p>

(a)

Time, =169 minutes =10140s is the given velocity.

We know that,  is the displacement    Thus the displacement is Step 3 of 3

##### ISBN: 9781938168000

The full step-by-step solution to problem: 52PE from chapter: 3 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. This textbook survival guide was created for the textbook: College Physics , edition: 1. College Physics was written by and is associated to the ISBN: 9781938168000. The answer to “Bryan Allen pedaled a human-powered aircraft across the English Channel from the cliffs of Dover to Cap Gris-Nez on June 12, 1979. (a) He flew for 169 min at an average velocity of 3.53 m/s in a direction 45º south of east. What was his total displacement? (b) Allen encountered a headwind averaging 2.00 m/s almost precisely in the opposite direction of his motion relative to the Earth. What was his average velocity relative to the air? (c) What was his total displacement relative to the air mass?” is broken down into a number of easy to follow steps, and 88 words. This full solution covers the following key subjects: relative, allen, velocity, air, displacement. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. Since the solution to 52PE from 3 chapter was answered, more than 3936 students have viewed the full step-by-step answer.

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