PROBLEM:1.22
The velocity of a particle moving in the positive direction
of the x axis varies as shown in book, where a is a positive constant. Assuming
that at the moment t = 0 the particle was located at the point x =0, find:
(a)
the time dependence of the velocity and the acceleration of
the particle;
(b) the mean velocity of the particle averaged over the time
that the particle takes to cover the first s metres of the path.
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