2019 Year 12 IB Extended Essays
THE PHYSICS OF THE ROLLER COASTER
Maximum trendline M= ∆ ∆ =
Equation Y=mx +c M =
Minimum trendline M= ∆ ∆ =
5.2−0.8 36−10 = 4.4 26 = 0.17
4.8−2 30−12 = 2.8 18 = 0.156
∆ ∆ = 2− 1 2− 1
C = 0.16
C = 0.16
C = y-intercept
Y= 0.17x -1.5
Y= 0.156x +0.16
Average trendline M= ∆ ∆ =
7.2−0.8 46−6 = 6.4 40 = 0.16
Final trendline ∆ = ±0.007 ∆ = ± .67 Y= (0.16±0.007)x – 0.6±0.67
Error:
C = 0.16
Y= 0.16x -0.6
Graph with curved line showing the relationship between the height of release and the maximum radius the ball can circulate
GRAPH 1.2: HEIGHT OF RELEASE VS RADIUS
12
11
10
10
8
8
6
6
4.5
4
RADIUS OF THE LOOP/CM
2
0
0
10
20
30
40
50
60
70
80
HEIGHT OF THE RELASE/CM
P a g e | 16
IB Diploma
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