Question

a jogger runs 224 meters eastward, then 156 meters westward, then 84 meters eastward, and finally 248 meters westward. for this motion, what is the distance moved? distance (m) = what is the magnitude and direction of the displacement? magnitude (m) = dirn =

Explanation:

Step1: Calculate the distance

Distance is the total length of the path covered.
$$224 + 156+84 + 248$$
$$=(224+156)+(84 + 248)$$
$$=380+332$$
$$=712$$

Step2: Calculate the displacement

Let eastward be positive and westward be negative.
Displacement \(d=(224)+(- 156)+(84)+(-248)\)
$$=(224 + 84)-(156 + 248)$$
$$=308 - 404$$
$$=-96$$

Answer:

Distance \((m)=712\)
Magnitude \((m)=96\)
Dir'n = Westward