Equations Of Motion - HP -22S Owner's Manual

Example:
Find the roots of the equation 2x2
+
12x - 20
O.
Keys:
I
EVALI
12
I
INPUT
I
1
I
INPUT
I
211NPUT
I
Display:
B?value
J?value
A?value
C?value
Description:
Prompts for B.
Stores B,
I,
A, and C;
calculates
x.
20
@J
I
INPUT
I
X= 1.3589
I
EVALI
I
INPUT
I
@J
I
INPUT
I
I
INPUT
I
I
INPUT
I
B? 12.13131313
J? 1.13131313
A?2.13131313
C?-213.I3I3I313
X=-7.3589
Changes sign of
I,
cal-
culates second root.
Equations of Motion
The following equations of motion describe the displacement and ve-
locity of an object, assuming constant acceleration:
x=s +VXT +.5xAxT"'2 (Equation #1)
F=V+AxT
(Equation #2)
where A
=
F=
$=
T=
V=
X=
the acceleration.
the final velocity.
the initial position.
the elapsed time.
the initial velocity (at T
=
0).
position at time
T.
Example.
Part 1:
An object starting at rest accelerates with constant
acceleration of 2 meters/second
2
for 5 seconds. How far does the ob-
ject go?
94 7: The Equation Library