Question 29 A football coach walks 12 meters westward, then 16 meters eastward, then 22 meters westward, and finally 6 meters eastward. For this motion, what is the distance moved? What is the magnitude and direction of the displacement?

Distance moved is 56 meters The magnitude and direction of the displacement is 12 meters eastward

Step-by-step explanation:

Distance is scalar quantity and as such it has only magnitude and no direction.

The distance moved by the coach is calculated as;

distance = 12 meters + 16 meters + 22 meters + 6 meters

distance = 56 meters

Again, we determine the magnitude and direction of the displacement.

Displacement is a vector quantity and as such it has both magnitude and direction.

let westward represent positive direction, and

eastward represent negative direction

Displacement = 12 meters westward - 16 meters eastward + 22 meters westward - 6 meters eastward

Displacement = 12 meters eastward

Answer: 56m; 12m

Step-by-step explanation:

A football coach walks 12 meters westward, 16 meters eastward, 22 meters westward, and then 6 meters eastward. The total distance moved will be: 12m + 16m + 22m + 6m = 56 metres.

The displacement will be:

12i + 16i - 22i + 6i

= 34i - 22i

= 12m west