Plotting To Find Guesses - HP 40G User Manual

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Plotting to find guesses

The main reason for plotting in the Solve aplet is to help you
find initial guesses and solutions for those equations that have
difficult-to-find or multiple solutions.
Consider the equation of motion for an accelerating body:
x =
where x is distance, v
acceleration. This is actually two equations, y = x and
y = v
Since this equation is quadratic for t, there can be both a
positive and a negative solution. However, we are concerned
only with positive solutions, since only positive distance
makes sense.
1. Select the Solve aplet and enter the equation.
PF—
2. Find the solution for T (time) when X=30, V=2, and
A=4. Enter the values for X, V, and A; then highlight the
independent variable, T.
30
2
7-8
manuals search engine
2
at
------ -
v t +
0
2
is initial velocity, t is time, and a is
0
2
t + (at ) / 2.
0
Select Solve
TU6SU—
X
2•
V T
A
T 2
4
to highlight T
Solve aplet