Question:

A car has an acceleration of 8m/s2? if is final velocity is 24m/s2 how far does it travel during the period?

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a little bit of help from a big apple heart...> thanks

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  1. v^2=u^2+2as

    8^2=0^2+2*10*s

    64=0+20*s

    64=20*s

    64/20=s

    3.2m=s


  2. You mean final velocity is 24 m/s

    if the car started moving from rest

    use

    v(f)^2 = v(0)^2 + 2ax

    where

    v(f) is the final velocity

    v(0) is the begining velocity

    a is acceleration

    x is the distance

    576 = 16 x

    so x = 36 meter


  3. vf - final velocity = 24 m/s

    vo - initial velocity = 0 m/s

    a - acceleration = 8 m/s^2

    t - time

    x - change in distance

    vf=vo + at

    at = vf - vo

    t = (vf - vo)/a

    t = (24-0)/8 = 3 s

    x = v0*t + 1/2 at^2

    x = 0 + 1/2 * (8*3^2) = 1/2 * (8*9) = 36 m

  4. Provided the initial velocity is zero.

    first calculate its period:

    v = u + at

    24 = (0) + 8(t)

    8t = 24

    t = 3secs

    now calculate its distance travelled using this equation:

    s = ut + ½at²

    s = (0 * 3) + ½(8)(3²)

    s = 36m

    so the distance is 36m

    hope this helps^_^

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