E-CodeProjectile launched from a height — a TI-84 Plus CE program
PROJH is a TI-BASIC program for the TI-84 Plus CE. Launch speed, angle, launch height and landing height (a cliff, a table, a roof): time in the air, horizontal distance, peak height, impact speed and angle, plus the best angle and the farthest reach from that height (angle above the horizontal, g = 9.81 m/s², no air resistance).
What it asks for and what it shows
It asks for 4 values at its prompts. In the example below it shows TIME S, RANGE M, MAX H M, HIT V, IMP ANG, OPT ANG, BEST R.
Example run
One of its oracle test cases: “20 m/s at 30° off a 15 m cliff”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Input 1 | 20 |
| Input 2 | 30 |
| Input 3 | 15 |
| Input 4 | 0 |
| The screen shows | |
TIME S= | 3.043525861 |
RANGE M= | 52.71541425 |
MAX H M= | 20.09683996 |
HIT V= | 26.34957305 |
IMP ANG= | 48.90302684 |
OPT ANG= | 37.19942811 |
BEST R= | 53.71982274 |
How it's checked
6 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 42 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 “Projectile launched from a height” (PROJH).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
Related programs
- Projectile motion solver
- Kinematics: the five constant-acceleration equations
- Thin lens, mirror, lensmaker and two-lens system
- Simple harmonic motion: spring or pendulum
- Doppler effect for sound
All TI-84 Plus CE physics programs · All TI-84 Plus CE programs