17. Velocity and Position A particle is moving in a straight line in such a way that its position at timer (in seconds) is s(t) = 1² +31 + 2 feet to the right of a reference point, for t≥ 0. (a) What is the velocity of the object when the time is 6 seconds? (b) Is the object moving toward the reference point when t = 6? Explain your answer. (c) What is the object's velocity when the object is 6 feet from the reference point? 18. Interpreting Rates of Change on a Graph A car is traveling from New York to Boston and is partway between the two cities. Let s(t) be the distance from New York during the next minute. Match each behavior with the corresponding granh of so in Fi 22. Rat: inje ent f'(3 in th 23. Pric whe f(1C 24. Adve wher ment 25. Rate pute Inter estim

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1.05
46.8
47.4
17. Velocity and Position A particle is moving in a straight
line in such a way that its position at time (in seconds) is
s(t) = 1² +31 + 2 feet to the right of a reference point, for
t≥ 0.
(a) What is the velocity of the object when the time is
6 seconds?
(b) Is the object moving toward the reference point when
t = 6? Explain your answer.
(c) What is the object's velocity when the object is 6 feet from
the reference point?
18. Interpreting Rates of Change on a Graph A car is traveling
from New York to Boston and is partway between the two
cities. Let s(t) be the distance from New York during the next
minute. Match each behavior with the corresponding graph
of s(t) in Fig. 7.
(a) The car travels at a positive steady speed.
(b) The car is stopped.
(c) The car is backing up.
(d) The car is accelerating.
(e) The car is decelerating.
Y
e
of the
4.1 mim
22. Rate of
injected
ent in th
f'(3) =
in the b
23. Price Al
when th
f(10,000
24. Advertis
when xe
ments f
25. Rate of S
puters so
Interpret
estimate.
$1250 pe
26. Marginal
turing x
and C'(2C
items.
27. Marginal 1
facturing
P'(100)
selling 99
Transcribed Image Text:1.05 46.8 47.4 17. Velocity and Position A particle is moving in a straight line in such a way that its position at time (in seconds) is s(t) = 1² +31 + 2 feet to the right of a reference point, for t≥ 0. (a) What is the velocity of the object when the time is 6 seconds? (b) Is the object moving toward the reference point when t = 6? Explain your answer. (c) What is the object's velocity when the object is 6 feet from the reference point? 18. Interpreting Rates of Change on a Graph A car is traveling from New York to Boston and is partway between the two cities. Let s(t) be the distance from New York during the next minute. Match each behavior with the corresponding graph of s(t) in Fig. 7. (a) The car travels at a positive steady speed. (b) The car is stopped. (c) The car is backing up. (d) The car is accelerating. (e) The car is decelerating. Y e of the 4.1 mim 22. Rate of injected ent in th f'(3) = in the b 23. Price Al when th f(10,000 24. Advertis when xe ments f 25. Rate of S puters so Interpret estimate. $1250 pe 26. Marginal turing x and C'(2C items. 27. Marginal 1 facturing P'(100) selling 99
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