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Review Exercise, pp. 156–159 11. 2000
b. v122 6,
12. a. moving away from its starting point
a122 24
1. ,
b. moving away from the origin and 3. a. v1t2 2t 3,
f –1x2 12x 2 20x 6
towards its starting position
a1t2 2
d 2 y
2.
dx 2 72x7 42x
13. a. t 2 b. yes
b. 0.25 m
3
c. 1 m>s,
1 m>s
14. 27.14 cm by 27.14 cm for the base and d. between t 0 s and t 1.5 s
3. v 2t 12t 32 1 2,
height 13.57 cm
e. 2 m>
s 2
a 2 12t 32 3 2
15. length 190 m, width approximately 63 m 4. a. min: 63, max: 67
4. v1t2 1 5t 2
16. 31.6 cm by 11.6 cm by 4.2 cm
,
b. min: 7.5, max: 10
17. radius 4.3 cm, height 8.6 cm
a1t2 10t 3
5. a. 2.1 s
18. Run the pipe 7.2 km along the river shore b. about 22.9
5. The upward velocity is positive for and then cross diagonally to the refinery.
0 t 4.5 s, zero for t 4.5 s, and
6. 250 m by 166.7 m
19. 10:35 p.m.
negative for t 7 4.5 s.
7. 162 mm by 324 mm by 190 mm
20. $204 or $206
8. $850>month
45
v(t)
21. The pipeline meets the shore at a point C,
5.7 km from point A, directly across from P.
22. 11.35 cm by 17.02 cm
Chapter 4
30
23. 34.4 m by 29.1 m
24. 2:23 p.m.
Review of Prerequisite Skills, pp.
15
25. 3.2 km from point C
162–163
26. a. absolute maximum: f 172 41,
t
0
absolute minimum: f 112 5 1. a. y 3 or y 1
2 4 6 8 10
b. absolute maximum: f 132 36,
2
absolute minimum: f 132 18 b. x 7 or x 2
c. absolute maximum: f 152 67,
c. x 5 absolute minimum: f 152 63
2
d. absolute maximum: f 142 2752, d. y 1 or y 3 or y 2
absolute minimum: f 122 56
27. a. 62.9 m c. 3.6 m>s 2
2. a. x 6 7 3
Time
b. 4.7 s
6. a. min: 52,
28. a. d. f –112 5
b. x 2
f –122 60
c. 1 6 t 6 3
max: 0
16 d. x 6 4 or x 7 1
b. min: 65,
1 3. a.
y
b. f –112 26 e. f –142
max: 16
108
3
c. min: 12,
c. f. f –182 1
2
f –102 192
max: 20
72
1
1
7. a. 62 m
29. a. position: 1, velocity: ,
x
6
b. Yes, 2 m beyond the stop sign
1
acceleration: Q 1 speed:
c. Stop signs are located two or more
18 R, –3 –2 –1
0
1 2 3
–1
6
8
4
–2
metres from an intersection. Since b. position: , velocity: ,
3
9
–3
the car only went 2 m beyond the
10 4
acceleration: , speed:
stop sign, it is unlikely the car
27 9
would hit another vehicle travelling 30. a. v1t2 2
perpendicular.
3 1t2 t2 1 3 12t 12,
b. y
8. min is 2, max is 2 33
a1t2 2 8
9. 250
9 1t2 t2 4 3 12t 2 2t 12
6
b. 1.931 m>s
4
10. a. i. $2200
c. 2.36 m>s
2
ii. $5.50
x
d. undefined
iii. $3.00; $3.00
e. 0.141 m>s
b. i. $24 640
2
–8 –6 –4 –2
0
2 4 6 8
–2
ii. $61.60
–4
iii. $43.20; $43.21
Chapter 3 Test, p. 160
–6
c. i. $5020
–8
1. a. y– 14
ii. $12.55
b. f –1x2 180x 3 –10
24x
iii. $0.03; $0.03
c. y– 60x 5 60x
–12
d. i. $2705
d. f –1x2 9614x 82
ii. $6.88
2. a. v132 57,
iii. $5.01; $5.01
a132 44
Velocity (m/s)
–15
–30
–45
f ¿1x2 4x 3 4x 5 Answers 641
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