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14 April, 07:05

A car starts from rest and accelerates at a constant rate in a straight line. In the first second the car moves a distance of 2.0 meters. How fast will the car be moving at the end of the second second

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  1. 14 April, 07:36
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    The speed of the car at the end of the 2nd second = 8.0 m/s

    Explanation:

    The equations of motion will be used to solve this problem.

    A car starts from rest,

    u = initial velocity of the car = 0 m/s

    Accelerates at a constant rate in a straight line,

    a = constant acceleration of the car = ?

    In the first second the car moves a distance of 2.0 meters,

    t = 1.0 s

    x = distance covered = 2.0 m

    x = ut + (1/2) at²

    2 = 0 + (1/2) (a) (1²)

    a = 4.0 m/s²

    How fast will the car be moving at the end of the second second

    Now,

    a = 4.0 m/s²

    u = initial velocity of the car at 0 seconds = 0 m/s

    v = final velocity of the car at the end of the 2nd second = ?

    t = 2.0 s

    v = u + at

    v = 0 + (4*2)

    v = 8.0 m/s
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