A particle moves along a line so that its position at any time t ≥: 0 is given by the function 5{t)

instantaneous

#1

A particle moves along a line so that its
position at any time t ≥: 0 is given by the function 5{t) =
-t/3 + 7t/2 - 14t + 8 where s is measured in meters and tis
measured in seconds.
(a) Find the instantaneous velocity at any time I.
(b) Find the acceleration of the particle at any time t.
© When is the particle at rest?
(d) Describe the motion of the particle. At what values of I does
the particle change directions?

Answer:

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