Question: The function s ( t ) below gives the position of an object moving along a line. s ( t ) =7 t 2 +9

The functions(t)

below gives the position of an object moving along a line.s(t) =7t²+9tln(t)

for1te

(a) Find the velocity at timet.

v(t) =14t+9(ln(t)+1)

(b) Find the acceleration at timet.

a(t) =14+9t

(c) Describe the motion of the object; that is, tell when it is advancing and when it is retreating. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

advancing[1,e]

retreatingDNE

Compute the total distance traveled by the object during the indicated time interval.

(d) Tell when the object is accelerating and when it is decelerating. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

acceleratingdecelerating

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