Question

In: Physics

A cyclist rides 6.2 km east, then 9.28 km in a direction 27.27 degrees west of...

A cyclist rides 6.2 km east, then 9.28 km in a direction 27.27 degrees west of north, then 7.99 km west.

A. What is the magnitude of the total displacement, in km?

B. What is the direction of the displacement, measured in degrees west of north?

Expert Solution

Given that the cyclist first rides 6.2 km east

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then 9.28 km in a direction 27.27 degrees west of north

27.27 degrees is measured from north axis

So 90+27.27 degrees from east (x axis).=117.27 degrees

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Finally 7.99km west

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Rearrange i and j terms

A. What is the magnitude of the total displacement, in km?

ANSWER :

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B. What is the direction of the displacement, measured in degrees west of north?

Direction

So direction is 53.79 deg with respect to west axis

90-53.79=36.21

ANSWER :

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genius_generous answered 4 months ago

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