A runner is training for an upcoming race. In order to track the pace of the run

Question

A runner is training for an upcoming race. 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 4.75 V 4.50 4.25 4.00 3.75 3.50 3.25 1 3.00 2.75 y (m/s) 2.50 2.25 2.00 0 5 10 15 20 25 30 35 40 45 50 55 80 85 70 75 80 85 90 95 100 105 110 time (s) The average acceleration of the runner during segment 1 is O flat zero O positive O negative (Scroll down for more questions.)

Explanation / Answer

The average acceleration of the runner during segment 1 is

a1 = (vf -vi) / t

a1 = (3.00 -3.00)/10

a1 = 0 m/s2     (i.e. option two, zero)

Average acceleration of the runner during segment 2 is

a2 = (vf -vi) / t

a2 = (3.75 -3.00)/ (35-10)

a2 = 0.75 / 25 = 0.3 m/s2

The average acceleration of the runner during segment 5 is

a5 = (vf -vi) / t

a5 = (3.25 - 4.25) / (90-76)

a5 = -1.00 / 14

a5 = - 0.0714 m/s2 (negative sign indicates that the acceleration is in the opposite direction.)

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