Ships A and B leave port together. For the next two hours, ship A travels at 15.0 mph in a direction 20.0 ∘ west of north while the ship B travels 15.0 ∘ east of north at 20.0 mph .a) What is the distance between the two ships two hours after they depart?b)What is the speed of ship A as seen by ship B?

Question
Asked Oct 20, 2019
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Ships A and B leave port together. For the next two hours, ship A travels at 15.0 mph in a direction 20.0 ∘ west of north while the ship B travels 15.0 ∘ east of north at 20.0 mph .

a) What is the distance between the two ships two hours after they depart?

b)What is the speed of ship A as seen by ship B?

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Expert Answer

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Step 1

Given

=15 mph
= 20 mph
в
=20°
- 150
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=15 mph = 20 mph в =20° - 150

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Step 2

Diagram

20 mph
|в
15 mph A
15
20
0
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20 mph |в 15 mph A 15 20 0

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Step 3

Let the distance from origin to th...

Хд —xt
=15x2
X=30 mi
Х, — xt
x20x 2
-40 mi
Law of cosine
'-(30* +(40)" - 2ж30х40хсо(35°)
x2 900 1600-1965.6
x2 534.4
x 23.12 mi
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Хд —xt =15x2 X=30 mi Х, — xt x20x 2 -40 mi Law of cosine '-(30* +(40)" - 2ж30х40хсо(35°) x2 900 1600-1965.6 x2 534.4 x 23.12 mi

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