5-8-6

 

Dynamic Graphing

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)gT2 (g = 9.8m/s2)

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

Tθmin = 0,

Tθmax = 6,

Tθ ptch = 0.1

Procedure

1m DYNA

2!3(V-WIN)-bwecwfwc -bwbgwcw awgwa.bwJ

3!m(SET UP)2(Stop) cccccc1(Deg)J

43(TYPE)3(Parm)

(cacav(A))vw

(casav(A))v-e.jvxw

54(VAR)

62(SET)dawgawbfwJ

73(SPEED)3()J

86(DYNA)

Result Screen

···→

←···

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