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You drive 8.50 km in a straight line in a direction 30° East of North.
(a) Find the distances you would have to drive straight East and then straight North to arrive at the same point. (This is equivalent to finding the components of the displacement along the East and North directions.)
km East
km North
(b) Show that you still arrive at the same point if the East and North legs are reversed in order.

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onyebuchinnaji

(a.1) The component of displacement along the East is  7.36 km.

(a.2) The component of displacement along the North is  4.25 km.

(b)  When the East and North legs are reversed in order, you will still travel 8.5 km.

Component of displacement along the East

dx = d cosθ

dx = 8.5 km x cos(30)

dx = 7.36 km

Component of displacement along the North

dy = d sinθ

dy = 8.5 km x sin(30)

dy = 4.25 km

When East and North legs are reversed;

dx = 4.25 km

dy = 7.36 km

Resultant displacement;

R = √(dx² + dy²)

R = √(4.25² + 7.36²)

R = 8.5 km

Thus, when the East and North legs are reversed in order, you will still travel 8.5 km.

Learn more about displacement here: https://brainly.com/question/2109763

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