Question

A person jogs 780 meters south and

then 360 meters west.
What is the magnitude of the
person's resultant vector?

Answer 1

Answer: Approximately 859.06926 meters

Step-by-step explanation:

Draw a right triangle. The vertical leg is 780 meters and the horizontal leg is 360 meters. The hypotenuse represents the magnitude of the resultant vector. Use the pythagorean theorem to find it.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

c = sqrt( 780^2 + 360^2 )

c = 859.06926

The distance from the original starting point to the finish line is roughly 859.06926 meters.