You drive 7.50 km in a straight line in a direction 15º 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 determination is equivalent to find the components of the displacement along the east and north directions.) (b) Show that you still arrive at the same point if the east and north legs are reversed in order.

Solution to 18PE

Step 1 of 2

Here we have to find the distance travelled by the driver in east and north direction so that we can reach the same position if we travel 7.5km in a direction East of north. To compute the distance travelled, we need to resolve the position vector and find its magnitude.

(a)

Resolving the position vector:

Thus resolving the position vector we get two components namely:

Where in East of North.

Thus the distance traveled in North and east directions are