A car drove 200 km east on an interstate highway, then was finally able to make an
exit and drove for another 70 km to the north before reaching their destination.
What was the direction of car's resultant displacement?

Respuesta :

Answer:

70.66°

Explanation:

To find the direction of the displacement vector, we have to solve for the ratio of both displacements, and furthermore the inverse tangent of the ratio.

Given data

200km east represents the x axis

70 km north represents y axis

the direction of the resultant is given as

∅= tan-1x/y

∅=tan-1 200/70

∅= tan-120/7

∅= tan-12.85

∅= 70.66°

hence the direction of the resultant is 70.66°