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physics

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A car accelerates from rest at a steady rate of 1 ms-2. Calculate:
(a) the time taken to reach 15 ms-1
(b) the distance travelled during this time
(c) the velocity of the car when it was 100 m from the start point

  • physics - ,

    1.
    For accelerated motion
    s=v0t+(at2/2) and v=v0 + at
    Since initial velocity v0 is zero,
    s=at2/2 and v= at.
    t=v/a=15/1=15 s.
    s=1•225/2=112.5 m.
    2.
    If s =at2/2 = 100 m,
    t=sqroot(2s/a)= sqroot(2•100/1)=14.14 s.
    v=at=1•14.14=14.14 m/s.

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