A car travels 19 miles south and then 23 miles east. Which of the following is true?

Question

Quizplus · Accepted Answer

The net displacement is the vector sum of the two displacements. The first displacement is 19 miles south, which can be represented as a vector with magnitude 19 and direction 270 degrees (south). The second displacement is 23 miles east, which can be represented as a vector with magnitude 23 and direction 90 degrees (east). The net displacement is the vector sum of these two vectors, which has a magnitude of 29.83 miles and a direction of 39.56 degrees south of east.

A Car Travels 19 Miles South and Then 23 Miles 39.56∘39.56^{\circ}39.56∘

A Car Travels 19 Miles South and Then 23 Miles $39.56^{\circ}$