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dy/dt 2

y(0) 3 m

delta 0.1 s

stap y delta y tijd (s)

0 3 0.2 0.1

1 3.2 0.2 0.22 3.4 0.2 0.3

3 3.6 0.2 0.4

4 3.8 0.2 0.5

5 4 0.2 0.6

6 4.2 0.2 0.7

7 4.4 0.2 0.8

8 4.6 0.2 0.9

9 4.8 0.2 1

10 5 0.2 1.1

11 5.2 0.2 1.212 5.4 0.2 1.3

13 5.6 0.2 1.4

14 5.8 0.2 1.5

15 6 0.2 1.6

16 6.2 0.2 1.7

17 6.4 0.2 1.8

18 6.6 0.2 1.9

19 6.8 0.2 2

20 7 0.2 2.1

21 7.2 0.2 2.2

22 7.4 0.2 2.3

23 7.6 0.2 2.4

24 7.8 0.2 2.5

25 8 0.2 2.6

26 8.2 0.2 2.7

27 8.4 0.2 2.8

28 8.6 0.2 2.9

29 8.8 0.2 3

30 9 0.2 3.1

31 9.2 0.2 3.2

32 9.4 0.2 3.3

33 9.6 0.2 3.4

34 9.8 0.2 3.5

35 10 0.2 3.6

36 10.2 0.2 3.7

37 10.4 0.2 3.8

38 10.6 0.2 3.9

39 10.8 0.2 4

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2/9

40 11 0.2 4.1

41 11.2 0.2 4.2

42 11.4 0.2 4.3

43 11.6 0.2 4.4

44 11.8 0.2 4.5

45 12 0.2 4.6

46 12.2 0.2 4.747 12.4 0.2 4.8

48 12.6 0.2 4.9

49 12.8 0.2 5

50 13 0.2 5.1

51 13.2 0.2 5.2

52 13.4 0.2 5.3

53 13.6 0.2 5.4

54 13.8 0.2 5.5

55 14 0.2 5.6

56 14.2 0.2 5.757 14.4 0.2 5.8

58 14.6 0.2 5.9

59 14.8 0.2 6

60 15 0.2 6.1

61 15.2 0.2 6.2

62 15.4 0.2 6.3

63 15.6 0.2 6.4

64 15.8 0.2 6.5

65 16 0.2 6.6

66 16.2 0.2 6.7

67 16.4 0.2 6.8

68 16.6 0.2 6.9

69 16.8 0.2 7

70 17 0.2 7.1

71 17.2 0.2 7.2

72 17.4 0.2 7.3

73 17.6 0.2 7.4

74 17.8 0.2 7.5

75 18 0.2 7.6

76 18.2 0.2 7.7

77 18.4 0.2 7.8

78 18.6 0.2 7.9

79 18.8 0.2 8

80 19 0.2 8.1

81 19.2 0.2 8.2

82 19.4 0.2 8.3

83 19.6 0.2 8.4

84 19.8 0.2 8.5

7/24/2019 Oefening Diffiercatie

3/9

85 20 0.2 8.6

86 20.2 0.2 8.7

87 20.4 0.2 8.8

88 20.6 0.2 8.9

89 20.8 0.2 9

90 21 0.2 9.1

91 21.2 0.2 9.292 21.4 0.2 9.3

93 21.6 0.2 9.4

94 21.8 0.2 9.5

95 22 0.2 9.6

96 22.2 0.2 9.7

97 22.4 0.2 9.8

98 22.6 0.2 9.9

99 22.8 0.2 10

100 23 0.2 10.1

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dy/dt= -2*y

dy/dt= -2*y -> dy=-2 y dt -> delta y = -2 y delta t 2

y(0) 100 m

delta t 0.1 s

stap y delta y tijd (s)

0 100 -20 0

1 80 -16 0.12 64 -12.8 0.2

3 51.2 -10.24 0.3

4 40.96 -8.192 0.4

5 32.768 -6.5536 0.5

6 26.2144 -5.24288 0.6

7 20.97152 -4.194304 0.7

8 16.77722 -3.355443 0.8

9 13.42177 -2.684355 0.9

10 10.73742 -2.147484 1

11 8.589935 -1.717987 1.112 6.871948 -1.37439 1.2

13 5.497558 -1.099512 1.3

14 4.398047 -0.879609 1.4

15 3.518437 -0.703687 1.5

16 2.81475 -0.56295 1.6

17 2.2518 -0.45036 1.7

18 1.80144 -0.360288 1.8

19 1.441152 -0.28823 1.9

20 1.152922 -0.230584 2

21 0.922337 -0.184467 2.1

22 0.73787 -0.147574 2.2

23 0.590296 -0.118059 2.3

24 0.472237 -0.094447 2.4

25 0.377789 -0.075558 2.5

26 0.302231 -0.060446 2.6

27 0.241785 -0.048357 2.7

28 0.193428 -0.038686 2.8

29 0.154743 -0.030949 2.9

30 0.123794 -0.024759 3

31 0.099035 -0.019807 3.1

32 0.079228 -0.015846 3.2

33 0.063383 -0.012677 3.3

34 0.050706 -0.010141 3.4

35 0.040565 -0.008113 3.5

36 0.032452 -0.00649 3.6

37 0.025961 -0.005192 3.7

38 0.020769 -0.004154 3.8

39 0.016615 -0.003323 3.9

7/24/2019 Oefening Diffiercatie

5/9

40 0.013292 -0.002658 4

41 0.010634 -0.002127 4.1

42 0.008507 -0.001701 4.2

43 0.006806 -0.001361 4.3

44 0.005445 -0.001089 4.4

45 0.004356 -0.000871 4.5

46 0.003484 -0.000697 4.647 0.002788 -0.000558 4.7

48 0.00223 -0.000446 4.8

49 0.001784 -0.000357 4.9

50 0.001427 -0.000285 5

51 0.001142 -0.000228 5.1

52 0.000913 -0.000183 5.2

53 0.000731 -0.000146 5.3

54 0.000585 -0.000117 5.4

55 0.000468 -9.4E-005 5.5

56 0.000374 -7.5E-005 5.657 0.000299 -6.0E-005 5.7

58 0.000239 -4.8E-005 5.8

59 0.000192 -3.8E-005 5.9

60 0.000153 -3.1E-005 6

61 0.000123 -2.5E-005 6.1

62 9.81E-005 -2.0E-005 6.2

63 7.85E-005 -1.6E-005 6.3

64 6.28E-005 -1.3E-005 6.4

65 5.02E-005 -1.0E-005 6.5

66 4.02E-005 -8.0E-006 6.6

67 3.21E-005 -6.4E-006 6.7

68 2.57E-005 -5.1E-006 6.8

69 2.06E-005 -4.1E-006 6.9

70 1.65E-005 -3.3E-006 7

71 1.32E-005 -2.6E-006 7.1

72 1.05E-005 -2.1E-006 7.2

73 8.42E-006 -1.7E-006 7.3

74 6.74E-006 -1.3E-006 7.4

75 5.39E-006 -1.1E-006 7.5

76 4.31E-006 -8.6E-007 7.6

77 3.45E-006 -6.9E-007 7.7

78 2.76E-006 -5.5E-007 7.8

79 2.21E-006 -4.4E-007 7.9

80 1.77E-006 -3.5E-007 8

81 1.41E-006 -2.8E-007 8.1

82 1.13E-006 -2.3E-007 8.2

83 9.05E-007 -1.8E-007 8.3

84 7.24E-007 -1.4E-007 8.4

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85 5.79E-007 -1.2E-007 8.5

86 4.63E-007 -9.3E-008 8.6

87 3.71E-007 -7.4E-008 8.7

88 2.96E-007 -5.9E-008 8.8

89 2.37E-007 -4.7E-008 8.9

90 1.90E-007 -3.8E-008 9

91 1.52E-007 -3.0E-008 9.192 1.21E-007 -2.4E-008 9.2

93 9.71E-008 -1.9E-008 9.3

94 7.77E-008 -1.6E-008 9.4

95 6.22E-008 -1.2E-008 9.5

96 4.97E-008 -9.9E-009 9.6

97 3.98E-008 -8.0E-009 9.7

98 3.18E-008 -6.4E-009 9.8

99 2.55E-008 -5.1E-009 9.9

100 2.04E-008 -4.1E-009 10

101 1.63E-008 -3.3E-009 10.1102 1.30E-008 -2.6E-009 10.2

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y(t)

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