miscellaneous exercise 21
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MathsTRANSCRIPT
Dr Lee Chu Keong (http://ascklee.org/)
0
Solutions to Miscellaneous Exercise 21 (Ho Soo Thong & Khor Nyak Hiong’s Panpac Additional Mathematics)
Solved by: Dr Lee Chu Keong ([email protected])
Dr Lee Chu Keong (http://ascklee.org/)
1
Miscellaneous Exercise 21 Question 1(a)
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The particle is instantaneously at rest at .
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Question 1(b)
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(√ )(√ )
√
The particle is next at O at √ :
(√ )
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Question 1(c)
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Question 1(d)
Summary:
,
Dr Lee Chu Keong (http://ascklee.org/)
2
,
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Question 2(a)
When ,
When :
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Question 2(b)
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Question 3(a)
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( ( ) )
Dr Lee Chu Keong (http://ascklee.org/)
3
Question 3(b)
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Question 3(c)
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Dr Lee Chu Keong (http://ascklee.org/)
4
At , :
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Question 4(a)
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“a particle starts from rest” which means that at , :
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When :
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Question 4(b)
At , :
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Question 5(a)
When :
Dr Lee Chu Keong (http://ascklee.org/)
5
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Question 5(b)
When , :
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Question 6(a)
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At , the particle comes to instantaneous rest at A
At , the particle comes to instantaneous rest at B
“t seconds after passing though O” means that at , :
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Question 6(b)
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6
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Question 6(c)
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Question 7
When , :
When , :
When , :
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Dr Lee Chu Keong (http://ascklee.org/)
7
At :
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√
At √ :
(√ )
(√ )
( √ ) √
√ √
√
Summary:
At ,
At √ , √
At ,
√ √ √ Question 8(a)
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8
Question 8(b)
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When , :
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Question 9(a)
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Question 9(b)
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Dr Lee Chu Keong (http://ascklee.org/)
9
Question 9(c)
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Question 9(d)
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when
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Question 10(a) ( )
Question 10(b)
At :
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When , :
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When :
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Question 10(c)
Dr Lee Chu Keong (http://ascklee.org/)
10
The plot of below shows that the particle will never return to O.
Question 11(a)
At :
Question 11(b)
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1 2 3 4t
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s
Dr Lee Chu Keong (http://ascklee.org/)
11
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Question 11(c)
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