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a tennis ball moves 22 meters southward, then 12 meters northward, then…

Question

a tennis ball moves 22 meters southward, then 12 meters northward, then 16 meters southward, and finally 34 meters northward.
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.

$$ LATEXBLOCK0 $$

Step2: Calculate the displacement

Let southward be positive and northward be negative.

$$ LATEXBLOCK1 $$

The negative sign indicates the direction is northward.

Answer:

Distance \(=86\) m

Magnitude of displacement \(=8\) m

Dir'n \(=\) Northward