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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 records time splits for the entire period. This allows the runner to produce the pictured velocity versus time graph. The run is broken into six segments.


Calculate the average acceleration ¯ (magnitude and sign) of the runner during segments 4 and 6.

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

Answer :

The acceleration of the runner during segment 4 is a₄ = 0.05 m/s² and the acceleration of the runner during segment 6 is a₆ = 0.0125 m/s².

Acceleration of the object equals the ratio of change in velocity and time taken. Velocity is defined as the speed in a particular direction and the unit of velocity is m/s. The unit of acceleration is m/s².

From the given,

initial velocity (Vini) = 4.25m

Final velocity (Vfin) = 3.50m

Change in time(ΔT) = 75-60 = 15 s

Acceleration at segment 4, a₄ = final velocity - initial velocity/time taken

a₄ = (4.25-3.50)/15

= 0.75/15

= 0.05 m/s².

The acceleration, a₆ = (final velocity-initial velocity)/time

initial velocity (Vini) = 3.50 m

Final velocity (Vfin) = 3.25m

Change in time(ΔT) = 110-90 = 20 s

a₆ = (final velocity-initial velocity)/time

= (3.50-3.25) / 20

= 0.0125m/s².

Thus, the acceleration a₄ is 0.05 m/s² and acceleration a₆ is 0.0125 m/s².

To learn more about acceleration:

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