1
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Close you eyes, and you're bungee jumping right?

2
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As soon as jump of that bridge

3
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the clock ticks, say just a smidge. 

4
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Just a smidge.

5
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What are you doing? [Falling]

6
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Kay, you're falling. But

7
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You're also thinking about, imagining

8
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for part A

9
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You're distance above the ground. 

10
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So time goes by, the clock ticks

11
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Just a smidge

12
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What's the distance above the ground doing?

13
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Okay. Let another smidge go by.

14
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Perhaps the same smidge as before. 

15
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Whatever that was, hundredth of a second

16
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But who cares. 

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A Smidge of time goes by again. 

18
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Now, how did you distance above the ground change?

19
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Still decreasing?

20
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What about a comparison to the previous smidge?

21
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Did it change the same, you think?

22
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[No, it went faster a little bit.]

23
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Mister Gromek?

24
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[It sped up like a little]

25
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What's... How does your distance speed up?

26
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[Gravity]

27
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But does distance speed up?

28
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[No.]

29
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So, hang on He's thinking of a very valid thing though.  

30
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So, in the first smidge of time that went by. 

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You're distance relative the ground

32
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- relative to the ground. 

33
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Did what?

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The first smidge of time

35
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went by, guys.  You're imagining 

36
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the situation one smidge at a time.

37
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That's how you're going to keep track of these

38
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complex situations. 

39
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Just a smidge at a time.

40
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Keeping track of how both things change,

41
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whatever they are.

42
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Because I would easily change the scenario 

43
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and now its a new way of thinking

44
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But you're thinking along the same lines. 

45
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Let a smidge of one variable go by, 

46
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and ask yourself how the other variable changed

47
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in the smidge. 

48
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Kay, so in that first time

49
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what happened again, with distance relative to ground?

50
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Think about it. 

51
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Distance above the ground after 

52
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the first smidge of time

53
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after you start falling does what?

54
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Decreases. 

55
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Why does is decrease?

56
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[Cause you're falling] Cause you're falling. 

57
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And in this situation, 

58
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You are incorporating fall. 

59
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Kelsey, brought up a different way of imagining it

60
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In this way of imagining it, yes we're fine. 

61
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We're getting closer to the ground. 

62
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You're decreasing. 

63
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But, let's go back to how Gromek

64
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thought about this. Because is the next smidge

65
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of time, what are you still doing?

66
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[Falling]

67
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Falling! But How?

68
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How compared to the previous smidge?

69
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Kay, you're falling faster but

70
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we're imagining distance above the ground

71
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relative to time. 

72
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So, if gravity pulls you down faster, 

73
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how are you imagining distance above

74
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the ground relative to time. 

75
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The distance you've fallen in the first smidge

76
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compared to the distance you've now fallen in the second smidge?

77
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How would that be

78
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affected if you speed up?

79
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First smidge, second smidge. 

80
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[It would be less time to fall]

81
00:03:12,044 --> 00:03:13,217
Okay, you could talk about

82
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how it takes you less time 

83
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to do what, Samone?

84
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[to fall]

85
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Okay

86
00:03:20,608 --> 00:03:23,157
To fall that distance it took you less time. 

87
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What if the smidges that you're imagining in you head, 

88
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first interval of time, the next interval of time

89
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What if you try to keep those

90
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Constant?

91
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What if the first smidge

92
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is the exact same smidge

93
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that you're imagining the next time?

94
00:03:38,811 --> 00:03:42,280
How would you distance above the ground change if you speed up?

95
00:03:48,919 --> 00:03:50,311
Does that make sense?

96
00:03:50,311 --> 00:03:52,280
If you're going faster, 

97
00:03:53,950 --> 00:03:55,858
what you're looking at equivalent

98
00:03:56,575 --> 00:03:59,030
pieces of time, whatever it is, half a second,

99
00:03:59,030 --> 00:04:01,575
tenth of a second, Kay?

100
00:04:01,575 --> 00:04:03,044
If you speed up

101
00:04:03,044 --> 00:04:04,342
Do you think you're going to cover

102
00:04:04,342 --> 00:04:05,919
more ground than before?

103
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Absolutely.

104
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Next smidge

105
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Next smidge.

106
00:04:12,530 --> 00:04:13,139
Now what?

107
00:04:18,435 --> 00:04:18,935
Julie?

108
00:04:18,935 --> 00:04:22,247
[I think You'd cover more than the one before]

109
00:04:22,247 --> 00:04:23,826
More than the one before, why?

110
00:04:23,826 --> 00:04:25,435
Even more what than the what before?

111
00:04:25,435 --> 00:04:27,449
Sorry. Do that for me first. 

112
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[Than the one before it]

113
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Okay, okay.

114
00:04:32,779 --> 00:04:35,654
In that next interval of time, whatever it is. 

115
00:04:35,654 --> 00:04:38,170
Kay, tenth of a second, half a second, whatever

116
00:04:38,170 --> 00:04:40,435
In that next smidge of time, are you still falling?

117
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[yes]

118
00:04:41,389 --> 00:04:42,279
Probably

119
00:04:42,279 --> 00:04:44,139
But did gravity pull you down quicker?

120
00:04:44,139 --> 00:04:45,779
[yeah] Probably. 

121
00:04:45,779 --> 00:04:48,483
So as far as distance covered in that 

122
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smidge of time, it should be what again Julie?

123
00:04:53,264 --> 00:04:57,019
Distance covered in that same.... Yeah. 

124
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That distance should be even greater than 

125
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[The one before?] The one before

126
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That's exactly what you already said, Okay. 

127
00:05:03,216 --> 00:05:05,483
Now, you're imagining the situation today

128
00:05:05,483 --> 00:05:06,404
But you are bungee jumping. 

129
00:05:06,404 --> 00:05:08,014
So what happens eventually?

130
00:05:08,014 --> 00:05:11,185
[You bounce up] You're going to bounce back up. 

131
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Kay.

132
00:05:13,529 --> 00:05:17,591
So, Thats going to get affected somehow. 

133
00:05:18,216 --> 00:05:20,858
Right? And you can imagine that as well. 

134
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Just imagine in your head

135
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as those intervals of time pass. 

136
00:05:25,045 --> 00:05:27,858
As those little smidges go by,

137
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That you're distance above the ground

138
00:05:33,795 --> 00:05:37,295
will eventually get affected by the bounce. 

139
00:05:37,295 --> 00:05:39,420
Kay? How will it get affected by the bounce though?

140
00:05:39,420 --> 00:05:42,716
I don't know, that's one of the things you're going to need to think about. 

141
00:05:42,716 --> 00:05:44,295
Kay?

142
00:05:45,389 --> 00:05:46,841
So, when you're imagining

143
00:05:46,841 --> 00:05:48,029
these situations

144
00:05:48,029 --> 00:05:51,829
literally, think of it, piece by piece

145
00:05:51,829 --> 00:05:53,872
As one variable goes by. 

146
00:05:53,872 --> 00:05:57,122
For instance time. As one second, 

147
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or tenth of a second

148
00:05:58,139 --> 00:06:00,084
or hundredth of a second, 

149
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smidge of time goes by.

150
00:06:01,966 --> 00:06:04,153
How is the other variable affected?

151
00:06:04,153 --> 00:06:05,247
Like your finger tools. 

152
00:06:05,247 --> 00:06:09,237
As this goes by, distance above ground goes what?

153
00:06:09,237 --> 00:06:10,420
And how though?