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9 July, 17:53

8. During the last few kilometers of a marathon, runners play mental games to test each

other out. They accelerate to see if the other runners will accelerate also. If a runner

has a velocity of 5 m/s and accelerates to 5.2 m/s after covering 10 m, calculate the

runner's average acceleration.

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Answers (1)
  1. 9 July, 21:16
    0
    The runner's average acceleration is 0.102 m/s²

    Explanation:

    The runner accelerates from 5 m/s to 5.2 m/s and covering 10 m

    We need to find the runner's average acceleration

    The given is:

    → Initial velocity 5 m/s

    → Final velocity 5.2 m/s

    → Distance 10 meters

    → Acceleration?

    We need a suitable rule for the given

    → v² = u² + 2 a s

    where v is the final velocity, u is the initial velocity, a is the acceleration

    and s is the distance

    Substitute the values above in the rule

    → (5.2) ² = (5) ² + 2 a (10)

    → 27.04 = 25 + 20 a

    Subtract 25 from both sides

    →2.04 = 20 a

    Divide both sides by 20

    → a = 0.102 m/s²

    The runner's average acceleration is 0.102 m/s²
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