How far does a car travel as it accelerates from rest to 24 m/s in 6 seconds?

Question

How far does a car travel as it accelerates from rest to 24 m/s in 6 seconds?

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Thông Đạt 4 years 2021-07-25T19:49:07+00:00 1 Answers 12 views 0

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  1. thienhuong
    0
    2021-07-25T19:50:56+00:00
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    Answer:

    \boxed{\sf Distance \ travelled = 72 \ m}

    Given:

    Initial velocity (u) = 0 m/s (Starts from rest)

    Final velocity (v) = 24 m/s

    Time taken (t) = 6 seconds

    To Find:

    Distance travelled by car (s)

    Explanation:

    From equation of motion of object moving with uniform acceleration in straight line we have:

    \boxed{ \bold{s = (\frac{v + u}{2} )t}}

    By substituting value of v, u & t in the equation we get:

    \sf \implies s = ( \frac{24 + 0}{2} ) \times 6 \\ \\ \sf \implies s = \frac{24}{2} \times 6 \\ \\ \sf \implies s = 12 \times 6 \\ \\ \sf \implies s = 72 \: m

    \therefore

    Distance travelled by car (s) = 72 m

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