Question

a quarterback back pedals 2.2 meters southward and then runs 6.8 meters northward. for this motion, what is the distance moved? distance (m) = tap button at left to enter answer using our built-in number pad. what is the magnitude and direction of the displacement? magnitude (m) = tap button at left to enter answer using our built-in number pad. dirn = -- (tap field to change.)

Explanation:

Step1: Calculate the distance

Distance is the total length of the path covered.
$$2.2 + 6.8=9$$

Step2: Calculate the displacement

Displacement is the net change in position. Let north be positive and south be negative.
$$- 2.2+6.8 = 4.6$$
Since the result is positive, the direction is northward.

Answer:

Distance $(m)=9$
Magnitude $(m)=4.6$
Dir'n = Northward