B. The average acceleration (magnitude and sign) of the runner during segment 2a

Question

B. The average acceleration (magnitude and sign) of the runner during segment 2and 5

A runner is training for an upcoming road race and sets out for a weekend endurance run. In order to track the pace of the run, the runner is able to record time splits for the entire period. This allows the runner to produce the following velocity versus time graph given below. The run is broken into six segments. Answer the questions below concerning this graph. 5.00 4.50 425 o 400 C 3.75 i 3.50 t 325 1 y 3.00 (ms) 250 0 5 10 15 20 25 30 35 40 45 5 55 50 ss 75 30 85 90 95 100 105 110 time (min) The average acceleration of the runner during segment 1 is: O flat O negative O positive (Scroll down for more questions)

Explanation / Answer

For segment 1:

vi=vf=3.00m/s

?t=10min = 600s

a =(vf-vi)/?t = (3.00m/s)/600 = 0.005 m/s^2

For segment 2:

vi=3.75m/s

vf=3.00m/s

?t=25min =25*60 = 1500s

a=(vf-vi)/?t = (3.75m/s-3.00m/s)/1500 = 0.0005 m/s^2

For segment 5:

vi= 4.25m/s

vf=3.25m/s

?t=15min =15*60 = 900s

a=(vf-vi)/?t = (4.25m/s-3.25m/s)/900 = 0.0011m/s^2

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