Use velocity- time graph of a particle to prove first and second equation of motion​

Use velocity- time graph of a particle to prove first and second equation of motion​

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  1. Answer:

    At t = 0, initial velocity = u = OA

    At t = t, final velocity = v = OC

    The distance S travelled in time t = area of the trapezium OABD

    s = (1/2) x (OA + DB) × OD

    s = (1/2) x (u + v) × t

    Since v = u + at,

    s = (1/2) x (u + u + at) × t

    s = ut + (1/2) at2

    Explanation:

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