Solve motion problems using the "Big 5" SUVAT variables. Enter any 3 known values to find the rest.
Enter at least 3 variables to calculate the others.
Common unknowns are usually calculated from (vi, a, t) or (d, t, a).
Kinematics is the branch of mechanics describing the motion of points, bodies (objects), and systems of bodies without considering the mass of each or the forces that cause the motion.
These equations assume constant acceleration:
Equation 1 (Missing d)
vf = vi + a·t
Equation 2 (Missing a)
d = ½(vi + vf)·t
Equation 3 (Missing vf)
d = vi·t + ½a·t²
Equation 4 (Missing t)
vf² = vi² + 2a·d
For objects in freefall (vertical motion), acceleration (a) is often gravity (g). On Earth, g ≈ 9.81 m/s². If throwing an object upwards, use a = -9.81 m/s²(decelerating). If dropping, use a = 9.81 m/s² (accelerating downwards).