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Chapter 13 Volume of prisms

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2.<br />

Convert from<br />

Convert to<br />

10 m/s 36 km/h<br />

120 km/h 33.33 m/s<br />

30 m/min 0.5 m/s<br />

100 cm/min 60 m/h<br />

3. It should have been ______ 3 600 s not _____ 360 s<br />

1 h 1 h .<br />

The correct answer is 36 km/h.<br />

4. 22.22 m/s 5. 9 km/h 6. 126 km/h<br />

7. 10.5 km/h<br />

2.92 m/s<br />

8. 120 km/h<br />

Activity 14.3<br />

1. 1 h 2. 2 h<br />

3. 16:00 4. 6 h<br />

5. 10:00 and 11:00. The graph is the steepest between<br />

these two times.<br />

6. A mark made at 14:30.<br />

Exercise 14.4<br />

1. (a) 08:20 (b) 20 min (c) 0.1 km/min<br />

(d) Faster (e) 08:50<br />

2. (a) 3 km (b) 1__<br />

2 h<br />

(c) Perhaps her friend was not home.<br />

(d) 1 h<br />

(e) 2.67 km/h (rounded to 2 d.p.)<br />

3. (a) 140 m (b) 06:03 (c) 80 s<br />

(d) 2 m/s (e) 0.78 m/s<br />

4. (a) Team Silver Stars (b) 250 km<br />

(c) Team Hot Shots (d) 3 h<br />

(e) 150 km<br />

(f) 100 km/h<br />

5. (a) 5 km<br />

(b) Skateboarder A stopped. Perhaps he fell and<br />

hurt himself.<br />

(c) 10 km/h (d) 07:15<br />

(e) 37.5 min<br />

(f) Skateboarder A won by 7.5min.<br />

6. Answers will vary.<br />

Exercise 14.5<br />

1. (a)<br />

Time <strong>of</strong><br />

day<br />

Distance<br />

from the start<br />

Time from<br />

the start<br />

Comments<br />

05:00 0 km 0 min Fetched sheep<br />

06:30 3 km 1.5 h Arrived at grazing<br />

area<br />

07:30 3 km 2.5 h Stopped<br />

09:00 0 km 4 h Arrived back at the<br />

farm<br />

(b)<br />

Distance (km)<br />

5<br />

4<br />

3<br />

2<br />

1<br />

Shepherd’s journey<br />

0<br />

05:00 05:30 06:00 06:30 07:00 07:30 08:00 08:30 09:00<br />

Time <strong>of</strong> day<br />

(c) 6 km/ 4 h = 1.5 m/h average speed<br />

2. (a)<br />

Tiro and father’s journey<br />

Distance (km)<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

09:00 09:30 10:00 10:30 11:00 11:30 12:00<br />

Time <strong>of</strong> day<br />

(b) 30 min<br />

(c) 1 h<br />

(d) ____ 8 km = 2.7 km/h (to 2 d.p.)<br />

3 h<br />

(e) 12:00<br />

3. (a)<br />

The journey <strong>of</strong> the bee<br />

Distance (km)<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

0 5 10 15 20 25 30 35 40<br />

Time (min)<br />

(b) 15:00<br />

(c) 10 min<br />

(d) 0.5 km/min or 30 km/h<br />

66

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