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Solution 19.8c

From Mechanics

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Current revision (17:09, 11 October 2010) (edit) (undo)
 
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The expression for the velocity <math>\mathbf{v}</math> has been obtained in part b).
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The expression for the velocity <math>\mathbf{v}</math> has been obtained in part a).
<math>\mathbf{v}=\left( 40 \right)\mathbf{i}+\left( -2t \right)\mathbf{j}</math>
<math>\mathbf{v}=\left( 40 \right)\mathbf{i}+\left( -2t \right)\mathbf{j}</math>

Current revision

The expression for the velocity v has been obtained in part a).

v=40i+2tj 

If the aeroplane is travelling south this is in the negative j direction.

If the aeroplane is travelling east this is in the positive i direction.

Thus if the aeroplane is travelling south east the i component of the velocity must equal the minus j component of the velocity.

40=(2t)t=20 s