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Example The path over time T of a ball thrown in the air at initial velocity V and
an angle of
θ
degrees from horizontal can be calculated as follows.
X = (Vcos
θ
)T, Y = (Vsin
θ
)T – (1/2)gT
2
(g = 9.8m/s
2
)
Use Dynamic Graph to plot the path of a ball thrown at an initial
velocity of 20 meters per second, at horizontal angles of 30, 45, and 60
degrees (Angle: Deg).
Use the following V-Window settings.
Xmin = –1, Xmax = 42, Xscale = 5
Ymin = –1, Ymax = 16, Yscale = 2
T
θ
min = 0, T
θ
max = 6, T
θ
ptch = 0.1
Procedure
1 m DYNA
2 !3 (V-WIN) - b w ec w f w c
- b w bg w c w
a w g w a.b wJ
3 !m (SET UP)2 (Stop)
cccccc 1 (Deg)J
4 3 (TYPE)3 (Parm)
(ca cav (A)) vw
(ca sav (A)) v -e.j vxw
5 4 (VAR)
6 2 (SET)da w ga w bf wJ
7 3 (SPEED)3 (
)J
8 6 (DYNA)
Result Screen
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5-8-6
Dynamic Graphing