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17 June, 07:51

What must be the acceleration of a train in order for it to stop 12 m/s in a distance if 541 m

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  1. 17 June, 09:33
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    The acceleration of the train must be - 0.133 m/s²

    Explanation:

    Lets explain how to solve the problem

    A train in order for it to stop 12 m/s in a distance if 541 m

    That means the initial velocity of the train is 12 m/s

    Its final velocity is zero (stop)

    The distance it covers is 541 m

    We want to find its acceleration

    The acceleration will be negative quantity because the train reduced its

    velocity from 12 m/s to zero

    We need rule contains velocity, acceleration and distance

    So we will use ⇒ v² = u² + 2as, where v is the final velocity, u is the

    initial velocity, a is the acceleration and s is the distance

    v = 0, u = 12 m/s, s = 541 m

    Substitute these values in the rule

    (0) ² = (12) ² + 2 (a) (541)

    0 = 144 + 1082 a

    Subtract 144 from both sides

    -144 = 1082 a

    Divide both sides by 1082

    - 0.133 = a

    The acceleration of the train must be - 0.133 m/s²
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