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Math Help - [SOLVED] speed & velocity

  1. #1
    cst301
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    Unhappy [SOLVED] speed & velocity

    Using standard eq. v=s/t can a vehicle accelerate to a speed of 114m/hr in a distance of .9tenth of a mile.
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  2. #2
    Super Member Aryth's Avatar
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    Well of course it's possible.

    First we have the following information:

    \text{Initial Speed }= 0 \frac{m}{hr}
    \text{Final Speed }= 114 \frac{m}{hr}
    \text{Distance }= 0.9 m

    According to the standard equation:

    v = \frac{s}{t}

    Plug-n-chug:

    114 = \frac{0.9}{t}

    114t = 0.9

    t = \frac{0.9}{114}

    t = 0.008 hrs

    It is possible to accelerate to that speed, in fact, it would take the same amount of time as specified above.

    Now, we know the change in velocity was 114 \frac{m}{hr} so we have another standard equation:

    a = \frac{v}{t}

    It's similar to the speed formula, but it is changed around for acceleration:

    a = \frac{114}{0.008}

    a = 14250 \frac{m}{hr^2}

    That is the acceleration you must have in order to attain the velocity in the time allotted over the distance allotted.
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