E-CodePolar-coordinate kinematics — a TI-84 Plus CE program
KINPOL is a TI-BASIC program for the TI-84 Plus CE. Radial and transverse velocity and acceleration components, speed and acceleration magnitude for r(t) and theta(t) given as quadratics in time.
What it asks for and what it shows
It asks for 7 values at its prompts. In the example below it shows R M, V R, V TH, SPEED, A R, A TH, ACCEL.
Example run
One of its oracle test cases: “spiral”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Input 1 | 2 |
| Input 2 | 1.5 |
| Input 3 | 0.3 |
| Input 4 | 0.2 |
| Input 5 | 0.8 |
| Input 6 | 0.4 |
| Input 7 | 3 |
| The screen shows | |
R M= | 9.2 |
V R= | 3.3 |
V TH= | 18.4 |
SPEED= | 18.69358179 |
A R= | -36.2 |
A TH= | 16.88 |
ACCEL= | 39.94213815 |
How it's checked
3 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 27 checks.
How E-Code checks every program
Run it or put it on your calculator
- Open the library in the TI-84 Plus CE calculator and pick “Polar-coordinate kinematics” (KINPOL).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
Related programs
- Slider-crank kinematics
- Projectile with air drag (RK4)
- Oblique central impact
- Block sliding onto a spring
- Two-body orbit and Kepler's equation
All TI-84 Plus CE physics programs · All TI-84 Plus CE programs