Suppose a pilot flies 40.0 km in a direction 60° north of east and then flies 30.0 km in a direction 15° north of east as shown in Figure below. Find her total distance R_from the starting point and the direction of the straight-line path to the final position. Discuss qualitatively how this flight would be altered by a wind from the north and how the effect of the wind would depend on both wind speed and the speed of the plane relative to the air mass. 0B = 15° y A + B = R B = 30 km B A = 40 km A R A = 60° R = ? 0 = ? W ZA N S X E

Suppose a pilot flies 40.0 km in a direction 60° north of east and then flies 30.0 km in a direction 15° north of east as shown in Figure below. Find her total distance R_from the starting point and the direction of the straight-line path to the final position. Discuss qualitatively how this flight would be altered by a wind from the north and how the effect of the wind would depend on both wind speed and the speed of the plane relative to the air mass. 0B = 15° y A + B = R B = 30 km B A = 40 km A R A = 60° R = ? 0 = ? W ZA N S X E

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

9. Suppose a pilot flies 40.0 km in a direction 60° north of
east and then flies 30.0 km in a direction 15° north of east
as shown in Figure below. Find her total distance R _from
the starting point and the direction of the straight-line
path to the final position. Discuss qualitatively how this
flight would be altered by a wind from the north and how
the effect of the wind would depend on both wind speed
and the speed of the plane relative to the air mass.
0B = 15°
y
A+B=R
A = 40 km
A
B = 30 km B
●●●
R
0A = 60°
R = ?
0 = ?
W
N
to
S
X
E

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Step 1: Given data

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Step 2: Representation of given system.

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Step 3: Calculation for horizontal and vertical components of vector A.

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Step 4: Calculation for horizontal and vertical components of vector B.

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Step 5: Calculation for magnitude of resultant vector R.

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Step 6: Calculation for direction of the resultant vector.

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Step 7: Explanation for effect of wind.

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