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Math Help - Displacement Problem

  1. #1
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    Displacement Problem

    An object moves along a line. At time t=0, the position of the object is -1 and the velocity at this time is 2. If the acceleration of the object is a(t) = √2t+1, find out where the object is at time t = 4. ( The acceleration is all under the square root)!
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  2. #2
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    Quote Originally Posted by cole123 View Post
    An object moves along a line. At time t=0, the position of the object is -1 and the velocity at this time is 2. If the acceleration of the object is a(t) = √2t+1, find out where the object is at time t = 4. ( The acceleration is all under the square root)!
    Solve \frac{d^2 x}{dt^2} = \sqrt{2t + 1} subject to x(0) = -1 and v(0) = x'(0) = 2.

    Then evaluate x(4).

    If you need more help, please show what work you've done and say where you are stuck.
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  3. #3
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    Right now I have 1/3 (2t+1) ^(3/2) + 5/3

    I used 1/2 [int] u^(1/2) du
    then solved for C and got 5/3
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  4. #4
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    Fine - that's the velocity function. Integrate that to get position.
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