E-CodeTI-84 Plus CE physics programs
19 checked physics programs for the TI-84 Plus CE. Each one runs in E-Code's virtual calculator in your browser, and you can put it on your own calculator.
The programs
- Projectile motion solver: Closed-form time of flight, max height, and range from launch speed and angle.
- Projectile with air drag (RK4): Fourth-order Runge-Kutta flight with quadratic drag, calling DRAG four times a step; range, height, time and impact speed.
- Slider-crank kinematics: Piston position, velocity and acceleration and the connecting-rod angular velocity at a crank angle, plus the peak piston speed over a full turn.
- Oblique central impact: Two smooth bodies with a coefficient of restitution: normal velocities after impact, speeds, kinetic energy lost.
- Block sliding onto a spring: Work-energy on an incline (or a vertical drop) with friction: maximum spring compression, speed at contact, peak spring force and acceleration, dynamic factor.
- Two-body orbit and Kepler's equation: From periapsis radius and speed: semi-major axis, eccentricity, period, apoapsis, then position and speed at a time after periapsis by solving Kepler's equation.
- Rolling body on an incline: Disk, hoop, sphere or any radius of gyration rolling down a slope: acceleration, friction needed, slip check, and speed and time after a distance.
- Rocket in gravity (Tsiolkovsky): Burnout speed and altitude with constant exhaust speed and burn rate, coast height, maximum altitude and initial thrust-to-weight.
- Polar-coordinate kinematics: Radial and transverse velocity and acceleration components, speed and acceleration magnitude for r(t) and theta(t) given as quadratics in time.
- Kinematics: the five constant-acceleration equations: Pick the two unknowns among s, u, v, a, t, type the other three (choose one direction as positive; s is the displacement): solves with the right SUVAT equation, and when a square root gives two answers shows each one with t ≥ 0.
- Projectile launched from a height: 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).
- Thin lens, mirror, lensmaker and two-lens system: Thin lens or mirror (1/f = 1/do + 1/di; real is positive — f > 0 for a converging lens or concave mirror, di < 0 means virtual, negative magnification means inverted): image distance, magnification, image height and real/virtual, upright/inverted; the lensmaker's equation for a lens in air with power in diopters (R > 0 for a surface convex toward the object: biconvex R1 > 0, R2 < 0); and a two-lens system with total magnification and equivalent focal length.
- Simple harmonic motion: spring or pendulum: Mass on a spring or a simple pendulum released from rest at its amplitude (x = A·cos ωt; the pendulum uses small angles and g = 9.81 m/s²): angular frequency, period and frequency, then position, velocity and acceleration at any time, and the maximum speed.
- Doppler effect for sound: Frequency heard when the source and/or the listener move (speeds toward each other positive, away negative), with the wavelength in front of the source; refuses a supersonic source.
- Harmonics: string, open pipe, closed pipe: Wave speed and the first five resonant frequencies of a string fixed at both ends (from tension and linear density), a pipe open at both ends, or a pipe closed at one end — odd harmonics only, numbered F1, F3, F5, F7, F9 (fn = nv/4L).
- Coulomb's law: force, field, three charges: Force between two point charges (attract or repel), the field and potential of a point charge at a distance, or the net force on a third charge from two others on a line (positive = toward +x). k = 8.9875517923ᴇ9 N·m²/C², charges in coulombs.
- Circular motion: centripetal, banked curve, loop: Uniform circular motion (centripetal acceleration and force, period, rpm), the ideal speed on a banked curve with no friction, or the minimum speed at the top of a vertical loop (on the inside of the track) and the speed it needs at the bottom. g = 9.81 m/s².
- Gravitation: force, orbits, escape speed: Gravitational force between two masses, surface gravity of a planet, or a circular orbit at any altitude: orbital speed, period (in s and hours) and the escape speed from that height.
- Refraction: Snell's law and total internal reflection: Light going from index n1 into n2 at an angle (measured from the normal): the refracted angle, or TOTAL INTERNAL REFLECTION when it can't get out, the critical angle when n1 > n2, and the speed of light in the second medium.