Appendix D: A Detailed Look at _ 225
In order to find the first time at which the height is 107 meters, use initial
estimates of 0 and 1 second and execute _ using B.
Keystrokes Display
| ¥
Run mode.
0 v
0.0000
Initial estimates.
1 1
´ _ B
4.1718
The desired root.
)
4.1718
A previous estimate of
the root.
)
0.0000
Value of f(t) at root.
It takes 4.1718 seconds for the ridget to reach a height of exactly 107
meters. (It takes approximately two seconds to find this solution.)
However, suppose you assume that the function h(t) is accurate only to
the nearest whole meter. You can now change your subroutine to give
f(t) = 0 whenever the calculated magnitude of f(t) is less than 0.5 meter.
Change your subroutine as follows:
Keystrokes Display
| ¥
000-
Program mode.
t ” 027
027- 30
Line before n
instruction.
| a
028- 43 16
Magnitude of f(t).
.
029- 48
Accuracy
5 030- 5
| T 7
031-43,30, 7
Test for x > y and return
zero if accuracy >
magnitude (0.5 > |f(t)|).
| `
032- 43 35
| T 0
033-43,30, 0
Test for x ≠ 0 and restore
| K
034- 43 36
f(t) if value is nonzero.