How much time does a bike with an acceleration of 2ms-2 take to increase its velocity from 10ms-1 to 30ms-1?​

Question

How much time does a bike with an acceleration of 2ms-2 take to increase its velocity from 10ms-1 to 30ms-1?​

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Trúc Chi 5 years 2021-08-06T10:32:41+00:00 1 Answers 39 views 0

Answers ( )

  1. diemthu
    0
    2021-08-06T10:33:53+00:00
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    Answer:

    \boxed{\sf Time \ taken = 10 \ seconds}

    Given:

    Initial velocity (u) = 10 m/s

    Final velocity (v) = 30 m/s

    Acceleration (a) = 2 m/s²

    To Find:

    Time taken (t) by bike to increase its velocity from 10 m/s to 30 m/s with an acceleration of 2 m/s²

    Explanation:

    \sf From \ equation \ of \ motion:

    \boxed{ \bold{v = u + at}}

    Substituting values of v, u & a in the equation:

    \sf \implies 30 = 10 + 2t

    Substract 10 from both sides:

    \sf \implies 30 - 10 = (10 - 10) + 2t

    \sf \implies 20 = 2t

    20 = 2t is equivalent to 2t = 20:

    \sf \implies 2t = 20

    Dividing both sides by 2:

    \sf \implies \frac{ \cancel{2}t}{ \cancel{2}} = \frac{20}{2}

    \sf \implies t = \frac{10 \times \cancel{2}}{ \cancel{2}}

    \sf \implies t = 10 \: s

    So,

    Time taken (t) by bike to increase its velocity from 10 m/s to 30 m/s with an acceleration of 2 m/s² = 10 seconds

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