HP 48gII User Manual

Page 405

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Page 12-24

X(t) = X0 + V0*COS(

θ0)*t

Y(t) = Y0 + V0*SIN(

θ0)*t – 0.5*g*t^2


which will add the variables

@@@Y@@@ and @@@X@@@ to the soft menu key labels.


To produce the graph itself, follow these steps:
• Press „ô, simultaneously if in RPN mode, to access to the PLOT

SETUP window.

• Change

TYPE

to

Parametric

, by pressing

@CHOOS ˜˜@@@OK@@@.

• Press ˜ and type ‘X(t) + i*Y(t)’ @@@OK@@@ to define the parametric plot as

that of a complex variable. (The real and imaginary parts of the complex
variable correspond to the x- and y-coordinates of the curve.)

• The cursor is now in the

Indep

field. Press

³~„t @@@OK@@@ to

change the independent variable to t.

• Press L@@@OK@@@ to return to normal calculator display.
• Press „ò, simultaneously if in RPN mode, to access the PLOT

window (in this case it will be called PLOT –PARAMETRIC window).
Instead of modifying the horizontal and vertical views first, as done for
other types of plot, we will set the lower and upper values of the
independent variable first as follows:

• Select the

Indep Low

field by pressing

˜˜. Change this value to

0@@@OK@@@. Then, change the value of

High

to

2@@@OK@@@. Enter 0.

1@@@OK@@@ for the

Step

value (i.e., step = 0.1).

Note: Through these settings we are indicating that the parameter t will
take values of t = 0, 0.1, 0.2, …, etc., until reaching the value of 2.0.


• Press @AUTO. This will generate automatic values of the H-View and V-View

ranges based on the values of the independent variable t and the
definitions of X(t) and Y(t) used. The result will be:

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