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1 November, 06:43

Starting from rest, a dragster travels a straight 1/4 mi racetrack in 6.70 s with constant acceleration. What is its velocity when it crosses the finish line?

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  1. 1 November, 07:09
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    Its velocity when it crosses the finish line is 119.40 m/s

    Explanation:

    We have equation of motion s = ut + 0.5 at²

    Initial velocity, u = 0 m/s

    Acceleration, a = ?

    Time, t = 6.70 s

    Displacement, s = 1/4 mi = 0.25 mi = 400 m

    Substituting

    s = ut + 0.5 at²

    400 = 0 x 6.70 + 0.5 x a x 6.70²

    a = 17.82 m/s²

    Now we have equation of motion v = u + at

    Initial velocity, u = 0 m/s

    Final velocity, v = ?

    Time, t = 6.7 s

    Acceleration, a = 17.82 m/s²

    Substituting

    v = u + at

    v = 0 + 17.82 x 6.7

    v = 119.40 m/s

    Its velocity when it crosses the finish line is 119.40 m/s
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