Kinematics Solver – TI-84 Evo Math Program

Kinematics Solver program on a TI-84 Evo

Type the three values you know from a motion problem and this program finds the other two, using the kinematics equations for constant acceleration.

By CalcPlex.

Send it to your calculator

Plug the calculator into your computer with a USB cable, then use the button below. If something is not working, see troubleshooting.

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Open it on the calculator

  1. Press the prgm key. The PROGRAMMING menu opens.
    The prgm key highlighted on the TI-84 Evo keyboard
    TI-84 Evo PROGRAMMING menu with 1: TI-Basic highlighted
  2. Press enter to select TI-Basic. The list of TI-Basic programs opens.
    TI-84 Evo TI-Basic program list showing 1: KINEMAT
  3. Press enter on KINEMAT in the program list, which puts prgmKINEMAT on the home screen.
  4. Press enter to run it. The program asks what you want to find.
    Kinematics program on the TI-84 Evo asking What do you want to find? with Displacement, Initial velocity, Final velocity, Acceleration and Time

Solve a problem

A race car speeds up from 18.5 m/s to 46.1 m/s in 2.47 seconds. Find its acceleration and how far it traveled.

  1. Select Acceleration. The program asks which other value the problem doesn't give you.
    Kinematics program on the TI-84 Evo asking What else isn't given? with Displacement, Initial velocity, Final velocity and Time
  2. Select Displacement. The distance traveled is the other unknown. The program now asks for the initial velocity.
    Kinematics program on the TI-84 Evo prompting Initial velocity:
  3. Type 18.5, 46.1 and 2.47, pressing enter after each. Those are the initial velocity, the final velocity and the time. The answer prints as Acceleration=11.17408907 and Displacement=79.781.
    Kinematics program on the TI-84 Evo showing Acceleration=11.17408907 and Displacement=79.781

The program doesn't know your units. Type every value in the same system (meters and seconds here) and the answers come back in it: 11.2 m/s² and 79.8 m once rounded.

To solve another one, press enter on the home screen. The calculator reruns the program and the first question comes back.

Good to know

  • Some problems have two answers, and you get both. A ball thrown up at 15 m/s passes a branch 7 m up twice, once going up and once coming down. Find Time with Final velocity as the other unknown, type 7, 15 and −9.8, and the program prints both moments, joined by Or. They are 1.91 seconds apart.
    Kinematics program on the TI-84 Evo showing two answers, Time=0.5744729163 with Final velocity=9.37016542, Or, Time=2.486751573 with Final velocity=-9.37016542
  • Whole-number problems get exact answers too. When the three values you type are whole numbers, an answer with a square root or a repeating decimal prints in exact form first, with the decimal in parentheses. Starting from rest at 3 m/s² over 50 m, the time comes out as 10√3/3.
    Kinematics program on the TI-84 Evo showing Final velocity=17.32050808 and Time=10 root 3 over 3 with 5.773502692 in parentheses
  • The last answer stays in Ans. For a vertical jump, solve for the time up to the top, then press × 2 enter on the home screen for the total hang time.
  • The answers are also kept in letters. D holds the displacement, U the initial velocity, V the final velocity, A the acceleration and T the time, so you can use any of them in your next calculation.

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