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Chapter 3: Q52PE (page 124)

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 for169min at an average velocity of3.53m/s in a direction45osouth of east. What was his total displacement? (b) Allen encountered a headwind averaging2.00m/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?

Short Answer

Expert verified

(a) The displacement covered by the person is35700meter.

(b) The average velocity relative with air speed is5.53m/s.

(c) Total displacement relative to the air velocity is 55900meter.

Step by step solution

01

Definition of velocity

The directional speed of an item in motion is an indication of its rate of change in position as seen from a specific point of view and measured by a specific time standard.

02

Given data

The velocity can be said as is 3.53m/s.

The velocity is making some angle45odegree with the x axis.

The time taken by him is 169min, which can be converted into seconds

The gravitational acceleration is-9.8m/s2

03

Displacement of the body

a) The displacement of the body is

Vx炉=xt3.53=x10100x=3.57x104m

The displacement covered by the person is35700meter.

b) The velocity of the considering the wind

Vw=V-VairVw=3.53--2=5.53鈥�m/s

The average velocity relative with air speed is5.53m/s.

c) Total displacement relative to the air velocity is

Vx炉=xt5.53=x10100x=5.59x104m

Total displacement relative to the air velocity is55900meter.

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Most popular questions from this chapter

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