Question

A car drives 16 miles south and then 12 miles west. What is the magnitude of the car’s displacement? 4 miles 16 miles 20 miles 28 miles

Answer 1

For this case, what we can do is use the Pythagorean theorem to find the magnitude of the displacement of the car.
 We have then
 $d ^ 2 = 16 ^ 2 + 12 ^ 2$
 From here, we clear the value of d.
 We have then:
 $d = \sqrt{16 ^ 2 + 12 ^ 2}$
 Rewriting:
 $d = \sqrt{256 + 144}$
 $d = \sqrt{400}$
 $d = 20 miles$
 Answer:
 The magnitude of the car's displacement is:
 d = 20 miles

Answer 2

20 miles. just took the quiz.