Find the time required to complete the trip if the jetliner is experiencing a headwind.

Question

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Answer 1

Question

Chapter 4, Problem 55PQ

(a)

To determine

Find the time required to complete the trip if the jetliner is experiencing a headwind.

(a)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

Explanation of Solution

The jetliner is travelling through the air and the air can move relative to ground. The jetliner displacement to the south is $880 km$ . Consider the north as positive y and east as positive x.

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G=(v→J)W−(v→G)W$ (I)

Here, $(v→J)G$ is the velocity of jetliner with respect to ground, $(v→J)W$ is the velocity of jetliner with respect to wind, $(v→W)G$ is the velocity of wind with respect to ground and $(v→G)W$ is the velocity of ground with respect to wind.

Write the equation for time interval.

$Δt=Δy(vJ)G,y$ (II)

Here, $Δt$ is the time interval, $Δy$ is the displacement of the jetliner and $(vJ)G,y$ is the y component of velocity of jetliner with respect to ground.

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→G)W$ in equation I.

$(v→J)G=710 km/h−55 km/h=655 km/h$

Substitute $655 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km655 km/h=1.34 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

(b)

To determine

Find the time required to complete the trip if the jetliner is experiencing a tailwind.

(b)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

Explanation of Solution

The wind is blowing at south with speed of $55 km/h$ .

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G$ (III)

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→W)G$ in equation III.

$(v→J)G=710 km/h+55 km/h=765 km/h$

Substitute $765 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km765 km/h=1.15 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

(c)

To determine

Find the time required to complete the trip if the jetliner is experiencing a crosswind.

(c)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

Explanation of Solution

The wind is blowing at west with speed of $55 km/h$ . Therefore, the airplane should directly travel south to reach the destination, so it must travel somewhat east and south so that the wind’s west component in the wind’s velocity is cancelled by the east component of the airplane velocity.

If the airplane heads with an angle $θ$ measured east of south, then the x component of the velocity must be equal in magnitude to the wind speed.

$(710 km/h)sinθ=55.0 km/hsinθ=55710θ=sin−1(55710)=4.44°$

There is no north south component in the velocity of wind, the south component of airplane velocity is equal to its velocity relative to ground.

Then,

$(vJ)G,y=(710 km/h)cosθ=(710 km/h)cos(4.44°)=708 km/h$

Conclusion:

Substitute $708 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km708 km/h=1.24 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

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Answer 2

Question

Chapter 4, Problem 55PQ

(a)

To determine

Find the time required to complete the trip if the jetliner is experiencing a headwind.

(a)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

Explanation of Solution

The jetliner is travelling through the air and the air can move relative to ground. The jetliner displacement to the south is $880 km$ . Consider the north as positive y and east as positive x.

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G=(v→J)W−(v→G)W$ (I)

Here, $(v→J)G$ is the velocity of jetliner with respect to ground, $(v→J)W$ is the velocity of jetliner with respect to wind, $(v→W)G$ is the velocity of wind with respect to ground and $(v→G)W$ is the velocity of ground with respect to wind.

Write the equation for time interval.

$Δt=Δy(vJ)G,y$ (II)

Here, $Δt$ is the time interval, $Δy$ is the displacement of the jetliner and $(vJ)G,y$ is the y component of velocity of jetliner with respect to ground.

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→G)W$ in equation I.

$(v→J)G=710 km/h−55 km/h=655 km/h$

Substitute $655 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km655 km/h=1.34 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

(b)

To determine

Find the time required to complete the trip if the jetliner is experiencing a tailwind.

(b)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

Explanation of Solution

The wind is blowing at south with speed of $55 km/h$ .

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G$ (III)

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→W)G$ in equation III.

$(v→J)G=710 km/h+55 km/h=765 km/h$

Substitute $765 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km765 km/h=1.15 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

(c)

To determine

Find the time required to complete the trip if the jetliner is experiencing a crosswind.

(c)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

Explanation of Solution

The wind is blowing at west with speed of $55 km/h$ . Therefore, the airplane should directly travel south to reach the destination, so it must travel somewhat east and south so that the wind’s west component in the wind’s velocity is cancelled by the east component of the airplane velocity.

If the airplane heads with an angle $θ$ measured east of south, then the x component of the velocity must be equal in magnitude to the wind speed.

$(710 km/h)sinθ=55.0 km/hsinθ=55710θ=sin−1(55710)=4.44°$

There is no north south component in the velocity of wind, the south component of airplane velocity is equal to its velocity relative to ground.

Then,

$(vJ)G,y=(710 km/h)cosθ=(710 km/h)cos(4.44°)=708 km/h$

Conclusion:

Substitute $708 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km708 km/h=1.24 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

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Answer 3

Question

Chapter 4, Problem 55PQ

(a)

To determine

Find the time required to complete the trip if the jetliner is experiencing a headwind.

(a)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

Explanation of Solution

The jetliner is travelling through the air and the air can move relative to ground. The jetliner displacement to the south is $880 km$ . Consider the north as positive y and east as positive x.

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G=(v→J)W−(v→G)W$ (I)

Here, $(v→J)G$ is the velocity of jetliner with respect to ground, $(v→J)W$ is the velocity of jetliner with respect to wind, $(v→W)G$ is the velocity of wind with respect to ground and $(v→G)W$ is the velocity of ground with respect to wind.

Write the equation for time interval.

$Δt=Δy(vJ)G,y$ (II)

Here, $Δt$ is the time interval, $Δy$ is the displacement of the jetliner and $(vJ)G,y$ is the y component of velocity of jetliner with respect to ground.

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→G)W$ in equation I.

$(v→J)G=710 km/h−55 km/h=655 km/h$

Substitute $655 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km655 km/h=1.34 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

(b)

To determine

Find the time required to complete the trip if the jetliner is experiencing a tailwind.

(b)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

Explanation of Solution

The wind is blowing at south with speed of $55 km/h$ .

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G$ (III)

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→W)G$ in equation III.

$(v→J)G=710 km/h+55 km/h=765 km/h$

Substitute $765 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km765 km/h=1.15 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

(c)

To determine

Find the time required to complete the trip if the jetliner is experiencing a crosswind.

(c)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

Explanation of Solution

The wind is blowing at west with speed of $55 km/h$ . Therefore, the airplane should directly travel south to reach the destination, so it must travel somewhat east and south so that the wind’s west component in the wind’s velocity is cancelled by the east component of the airplane velocity.

If the airplane heads with an angle $θ$ measured east of south, then the x component of the velocity must be equal in magnitude to the wind speed.

$(710 km/h)sinθ=55.0 km/hsinθ=55710θ=sin−1(55710)=4.44°$

There is no north south component in the velocity of wind, the south component of airplane velocity is equal to its velocity relative to ground.

Then,

$(vJ)G,y=(710 km/h)cosθ=(710 km/h)cos(4.44°)=708 km/h$

Conclusion:

Substitute $708 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km708 km/h=1.24 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

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Answer 4

Question

Chapter 4, Problem 55PQ

(a)

To determine

Find the time required to complete the trip if the jetliner is experiencing a headwind.

(a)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

Explanation of Solution

The jetliner is travelling through the air and the air can move relative to ground. The jetliner displacement to the south is $880 km$ . Consider the north as positive y and east as positive x.

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G=(v→J)W−(v→G)W$ (I)

Here, $(v→J)G$ is the velocity of jetliner with respect to ground, $(v→J)W$ is the velocity of jetliner with respect to wind, $(v→W)G$ is the velocity of wind with respect to ground and $(v→G)W$ is the velocity of ground with respect to wind.

Write the equation for time interval.

$Δt=Δy(vJ)G,y$ (II)

Here, $Δt$ is the time interval, $Δy$ is the displacement of the jetliner and $(vJ)G,y$ is the y component of velocity of jetliner with respect to ground.

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→G)W$ in equation I.

$(v→J)G=710 km/h−55 km/h=655 km/h$

Substitute $655 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km655 km/h=1.34 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

(b)

To determine

Find the time required to complete the trip if the jetliner is experiencing a tailwind.

(b)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

Explanation of Solution

The wind is blowing at south with speed of $55 km/h$ .

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G$ (III)

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→W)G$ in equation III.

$(v→J)G=710 km/h+55 km/h=765 km/h$

Substitute $765 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km765 km/h=1.15 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

(c)

To determine

Find the time required to complete the trip if the jetliner is experiencing a crosswind.

(c)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

Explanation of Solution

The wind is blowing at west with speed of $55 km/h$ . Therefore, the airplane should directly travel south to reach the destination, so it must travel somewhat east and south so that the wind’s west component in the wind’s velocity is cancelled by the east component of the airplane velocity.

If the airplane heads with an angle $θ$ measured east of south, then the x component of the velocity must be equal in magnitude to the wind speed.

$(710 km/h)sinθ=55.0 km/hsinθ=55710θ=sin−1(55710)=4.44°$

There is no north south component in the velocity of wind, the south component of airplane velocity is equal to its velocity relative to ground.

Then,

$(vJ)G,y=(710 km/h)cosθ=(710 km/h)cos(4.44°)=708 km/h$

Conclusion:

Substitute $708 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km708 km/h=1.24 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

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Answer 5

Chapter 4, Problem 55PQ

(a)

To determine

Find the time required to complete the trip if the jetliner is experiencing a headwind.

(a)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

Explanation of Solution

The jetliner is travelling through the air and the air can move relative to ground. The jetliner displacement to the south is $880 km$ . Consider the north as positive y and east as positive x.

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G=(v→J)W−(v→G)W$ (I)

Here, $(v→J)G$ is the velocity of jetliner with respect to ground, $(v→J)W$ is the velocity of jetliner with respect to wind, $(v→W)G$ is the velocity of wind with respect to ground and $(v→G)W$ is the velocity of ground with respect to wind.

Write the equation for time interval.

$Δt=Δy(vJ)G,y$ (II)

Here, $Δt$ is the time interval, $Δy$ is the displacement of the jetliner and $(vJ)G,y$ is the y component of velocity of jetliner with respect to ground.

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→G)W$ in equation I.

$(v→J)G=710 km/h−55 km/h=655 km/h$

Substitute $655 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km655 km/h=1.34 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

(b)

To determine

Find the time required to complete the trip if the jetliner is experiencing a tailwind.

(b)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

Explanation of Solution

The wind is blowing at south with speed of $55 km/h$ .

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G$ (III)

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→W)G$ in equation III.

$(v→J)G=710 km/h+55 km/h=765 km/h$

Substitute $765 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km765 km/h=1.15 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

(c)

To determine

Find the time required to complete the trip if the jetliner is experiencing a crosswind.

(c)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

Explanation of Solution

The wind is blowing at west with speed of $55 km/h$ . Therefore, the airplane should directly travel south to reach the destination, so it must travel somewhat east and south so that the wind’s west component in the wind’s velocity is cancelled by the east component of the airplane velocity.

If the airplane heads with an angle $θ$ measured east of south, then the x component of the velocity must be equal in magnitude to the wind speed.

$(710 km/h)sinθ=55.0 km/hsinθ=55710θ=sin−1(55710)=4.44°$

There is no north south component in the velocity of wind, the south component of airplane velocity is equal to its velocity relative to ground.

Then,

$(vJ)G,y=(710 km/h)cosθ=(710 km/h)cos(4.44°)=708 km/h$

Conclusion:

Substitute $708 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km708 km/h=1.24 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

Answer 6

Chapter 4, Problem 55PQ

(a)

To determine

Find the time required to complete the trip if the jetliner is experiencing a headwind.

(a)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

Explanation of Solution

The jetliner is travelling through the air and the air can move relative to ground. The jetliner displacement to the south is $880 km$ . Consider the north as positive y and east as positive x.

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G=(v→J)W−(v→G)W$ (I)

Here, $(v→J)G$ is the velocity of jetliner with respect to ground, $(v→J)W$ is the velocity of jetliner with respect to wind, $(v→W)G$ is the velocity of wind with respect to ground and $(v→G)W$ is the velocity of ground with respect to wind.

Write the equation for time interval.

$Δt=Δy(vJ)G,y$ (II)

Here, $Δt$ is the time interval, $Δy$ is the displacement of the jetliner and $(vJ)G,y$ is the y component of velocity of jetliner with respect to ground.

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→G)W$ in equation I.

$(v→J)G=710 km/h−55 km/h=655 km/h$

Substitute $655 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km655 km/h=1.34 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

Answer 7

Chapter 4, Problem 55PQ

(a)

To determine

Find the time required to complete the trip if the jetliner is experiencing a headwind.

Answer 8

(a)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The jetliner is travelling through the air and the air can move relative to ground. The jetliner displacement to the south is $880 km$ . Consider the north as positive y and east as positive x.

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G=(v→J)W−(v→G)W$ (I)

Here, $(v→J)G$ is the velocity of jetliner with respect to ground, $(v→J)W$ is the velocity of jetliner with respect to wind, $(v→W)G$ is the velocity of wind with respect to ground and $(v→G)W$ is the velocity of ground with respect to wind.

Write the equation for time interval.

$Δt=Δy(vJ)G,y$ (II)

Here, $Δt$ is the time interval, $Δy$ is the displacement of the jetliner and $(vJ)G,y$ is the y component of velocity of jetliner with respect to ground.

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→G)W$ in equation I.

$(v→J)G=710 km/h−55 km/h=655 km/h$

Substitute $655 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km655 km/h=1.34 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a headwind is $1.34 h$ .

Answer 13

(b)

To determine

Find the time required to complete the trip if the jetliner is experiencing a tailwind.

(b)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

Explanation of Solution

The wind is blowing at south with speed of $55 km/h$ .

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G$ (III)

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→W)G$ in equation III.

$(v→J)G=710 km/h+55 km/h=765 km/h$

Substitute $765 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km765 km/h=1.15 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

Answer 14

(b)

To determine

Find the time required to complete the trip if the jetliner is experiencing a tailwind.

Answer 15

(b)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The wind is blowing at south with speed of $55 km/h$ .

Write the equation for the velocity of airplane relative to ground.

$(v→J)G=(v→J)W+(v→W)G$ (III)

Conclusion:

Substitute $710 km/h$ for $(v→J)W$ and $55 km/h$ for $(v→W)G$ in equation III.

$(v→J)G=710 km/h+55 km/h=765 km/h$

Substitute $765 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km765 km/h=1.15 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a tailwind is $1.15 h$ .

Answer 20

(c)

To determine

Find the time required to complete the trip if the jetliner is experiencing a crosswind.

(c)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

Explanation of Solution

The wind is blowing at west with speed of $55 km/h$ . Therefore, the airplane should directly travel south to reach the destination, so it must travel somewhat east and south so that the wind’s west component in the wind’s velocity is cancelled by the east component of the airplane velocity.

If the airplane heads with an angle $θ$ measured east of south, then the x component of the velocity must be equal in magnitude to the wind speed.

$(710 km/h)sinθ=55.0 km/hsinθ=55710θ=sin−1(55710)=4.44°$

There is no north south component in the velocity of wind, the south component of airplane velocity is equal to its velocity relative to ground.

Then,

$(vJ)G,y=(710 km/h)cosθ=(710 km/h)cos(4.44°)=708 km/h$

Conclusion:

Substitute $708 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km708 km/h=1.24 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

Answer 21

(c)

To determine

Find the time required to complete the trip if the jetliner is experiencing a crosswind.

Answer 22

(c)

Expert Solution

Answer to Problem 55PQ

The time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The wind is blowing at west with speed of $55 km/h$ . Therefore, the airplane should directly travel south to reach the destination, so it must travel somewhat east and south so that the wind’s west component in the wind’s velocity is cancelled by the east component of the airplane velocity.

If the airplane heads with an angle $θ$ measured east of south, then the x component of the velocity must be equal in magnitude to the wind speed.

$(710 km/h)sinθ=55.0 km/hsinθ=55710θ=sin−1(55710)=4.44°$

There is no north south component in the velocity of wind, the south component of airplane velocity is equal to its velocity relative to ground.

Then,

$(vJ)G,y=(710 km/h)cosθ=(710 km/h)cos(4.44°)=708 km/h$

Conclusion:

Substitute $708 km/h$ for $(vJ)G,y$ and $880 km$ for $Δy$ in equation II.

$Δt=880 km708 km/h=1.24 h$

Therefore, the time required to complete the trip if the jetliner is experiencing a crosswind is $1.24 h$ .

Answer 27

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Find the time required to complete the trip if the jetliner is experiencing a headwind.

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