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PENANG ADDITIONAL MATHEMATICS PROJECT WORK 2015 SUGGESTED ANWSER BY www.addmathsprojectwork2015.blogspot.com Question 1 1. (a) (b) (c) Rate = 5 cm 3 s -1 y y V y y V y y V dy y V dy x V y y y 2 2 ) 0 ( 2 2 0 2 2 2 2 ) 2 ( 2 2 2 0 2 0 0 2 s t s cm cm t cm V V 19 . 24 5 2 77 2 77 ) 7 ( 2 2 ) 7 ( 1 3 3 3 2

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  • PENANG ADDITIONAL MATHEMATICS PROJECT WORK 2015 SUGGESTED ANWSER BY www.addmathsprojectwork2015.blogspot.com

    Question 1 1. (a)

    (b)

    (c) Rate = 5 cm3s-1

    yy

    V

    yy

    V

    yy

    V

    dyyV

    dyxV

    y

    y

    y

    22

    )0(22

    02

    2

    22

    )2(

    2

    22

    0

    2

    0

    0

    2

    st

    scm

    cm

    t

    cmV

    V

    19.24

    5

    2

    77

    2

    77

    )7(22

    )7(

    13

    3

    3

    2

  • 2. a) [IM NOT SURE ABOUT THIS, PLEASE LET ME KNOW IF THERE IS ANY MISTAKE]

    b)

    y 0 1 2 3 4 5 6 7

    dt

    dy

    0.00 1.57 3.77 6.60 10.00 14.14 18.85 24.19

    The rate increase as the value of y increase. [EXPLAIN MORE] 3.

    a)

    b) The height of the cup is 7, thus

    Yes, this is very effective in reducing the time to fill up the coffee.

    y 0 1 2 3 4 5 6 7

    dt

    dy

    0.00 12.50 13.33 16.25 20.00 24.13 28.57 31.13

    5

    2

    10

    5

    12

    2

    22

    2

    2

    2

    yy

    dt

    dy

    yy

    coffeeofvolumetheinChange

    yy

    V

    1

    20

    22

    10

    1

    102

    2

    2

    2

    yy

    y

    yy

    y

    coffeeofvolumetheinChangeNew

    st

    scm

    cm

    t

    cmV

    89.3

    13.31

    2

    77

    2

    77

    13

    3

    3