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Math Help - kinematics of a particle

  1. #1
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    kinematics of a particle

    Hiya, i have a very simple question! dunno how to work it out so i'd appreciate if someone showed me step by step and explained it.

    -A, B and C are three points on a straight road such that AB = 80m and BC = 60m. A car travelling with uniform acceleration passes A, B and C at times t = 0, t = 4s and t = 6s respectively. Modelling the car as a particle find its acceleration and its velocity at A.

    -the answers are: 3 1/3 ms^(-2), 13 1/3 ms^(-1)

    thx!
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  2. #2
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    Quote Originally Posted by Sundae View Post
    Hiya, i have a very simple question! dunno how to work it out so i'd appreciate if someone showed me step by step and explained it.

    -A, B and C are three points on a straight road such that AB = 80m and BC = 60m. A car travelling with uniform acceleration passes A, B and C at times t = 0, t = 4s and t = 6s respectively. Modelling the car as a particle find its acceleration and its velocity at A.

    -the answers are: 3 1/3 ms^(-2), 13 1/3 ms^(-1)

    thx!
    note the kinematics equation for uniform acceleration ...

    \Delta x = v_0 \cdot t + \frac{1}{2}at^2<br />

    two equations can be formed ...

    80 = v_A \cdot 4 + \frac{1}{2} a (4)^2

    140 = v_A \cdot 6 + \frac{1}{2} a (6)^2<br />

    two equations, two unknowns ... solve the system.
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    Thx alot!
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