Page 170 - ADVANCED MATH F.5

Form Five Form Five

Problems on rates of change
Teaching steps

1. Devise a strategy that will assist students to solve problems on
rates of change involving distance, velocity, and acceleration.
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2. For further understanding, use Examples 8.59 to 8.62 in the
Student’s Book to guide students and assist them to find
solutions of problems that involve rates of change.

3. Require students to attempt Exercise 8.15 in the Student’s Book.
Advise students to submit their work; check the correctness of
their answers, and provide them constructive feedback.

Answers to Exercise 8.15

1. 32 cm /sπ 2 6. 1.5 cm/s

2
2. 157.5 m 7. 0.04cm / s
1
3. cm / s 8. 4.096cm, 0.3576cm / min
8π
4. 384 cm /minπ 3 9. 3cm / s
2

5. 192 cm /sπ 2 11. v = 15 m/s, a = 12 m/s 2

12. (a) ( ) 3vt = t − 24t + 36, ( ) 6a t = t − 24
2
(b) when t = 2 and t = 6

(c) t =
4
(d) 2 t<< 6

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 164