1. A particle moves along the x-axis so that at any time t > 1 its acceleration is given by

    2. a(t) = 1/t.  The velocity is 2 and the position is 10 when time is 1.
    1. Find the velocity v(t) for t > 1.
    2. Find the position x(t) for t > 1.
    3. What is the position of the particle when it is farthest to the left?

      4.  
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  1. A particle moves along the x-axis with acceleration given by a(t) = cos t for t > 0.  At t = 0 the velocity v(t) of the particle is 2 and the position x(t) is 5.
    1. Write an expression for the velocity v(t).
    2. Write an expression for the position x(t).
    3. For what values of t is the particle moving to the right?  Justify yoyur answer.
    4. Find the total distance traveled by the particle from t = 0 to t = p/2.

      5.  
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