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A cat walks in a straight line, which we shall call the x-axis with the positive direction to...

A cat walks in a straight line, which we shall call the x-axis
with the positive direction to the right. As an observant physicist,
you make measurements of this cat's motion and construct a graph
of the feline's velocity as a function of time (Fig. 2.36). (a) Find the
cat's velocity at t = 4.0 s and at t = 7.0 s. (b) What is the cat's
acceleration at t = 3.0 s? At t = 6.0 s? At t = 7.0 s? (c) What distance
does the cat move during the first 4.5 s? From t = 0 to
t = 7.5 s? (d) Sketch clear graphs of the cat's acceleration and position
as functions of time, assuming that the cat started at the origin.
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