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A ship leaves port at noon at a bearing of 143°.  The ship’s average rate of speed over this time is 12 miles per hour.

Describe the location of the ship at 4:30 p.m. by writing a vector in component form. Then explain what these components mean in terms of the scenario.

Drag a value into each box to correctly complete the statements.

The component form of the vector representing the ship at 4:30 p.m. is approximately  〈−43.1, 32.5〉. This means that the ship is about Response area miles to the Response area and about Response area miles to the Response area of where the ship left port. 

 Jun 4, 2020
 #1
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perhaps

 Jun 4, 2020
 #2
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+1

 4.5 hr x 12m/hr = 54 miles

 

x = 54*cos(143) = -43.1 m

y = 54 *sin(143) = 32.5 m

 

43.1 m. South.      32.5 m east

 Jun 5, 2020

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