HP 40G manual Solve the unknown variable Plot the equation, Solve for the unknown variable a

Solve the unknown variable

Plot the equation

5.Solve for the unknown variable (A).

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Therefore, the acceleration needed to increase the speed of a car from 16.67 m/sec (60 kph) to 27.78 m/sec

(100 kph) in a distance of 100 m is approximately 2.47 m/s2.

Because the variable A in the equation is linear, once values are substituted into V, U and D, we know that we need not look for any other solutions.

The Plot view shows one graph for each member of the selected equation. You can choose any of the variables in the Numeric view to be the independent variable.

The other variables take on the values assigned to them in the Numeric view. The current equation is

V2 = U2 + 2AD . With the variable A highlighted, the Plot view will show two graphs.

One of these is Y = V2 , with V = 27.78 , or

Y= 771.7284 . This graph will be a horizontal line. The other graph will be Y = U2 + 2AD , with U = 16.67

and D = 100 , or Y = 200A + 277.8889 . This graph is also a line. The desired solution is the value of A where these two lines intersect.

6.Plot the equation for variable A.

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Solve aplet 7-3