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Math Help - Velocity and acceleration..

  1. #1
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    Velocity and acceleration..

    A car accelerates to overtake a truck. Its initial speed is u, and in a time t after it starts to accelerate it covers a distance x, where x = ut + kt^2.

    Use differentiation to show that its speed is then u + 2kt, and show that its acceleration is constant.


    Then velocity, dx / dt = u + 2kt ... which is also the speed in this case.

    But how to show that acceleration is constant?
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  2. #2
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    Just as speed is the derivative of the postion function, so acceleration is the derivative of the speed function. What is the derivative of u+ 2kt with respect to t?
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