How this calculation works
The Kinematics Motion Equations Calculator solves classical SUVAT equations for displacement (d), final velocity (v), average speed, and acceleration under constant linear acceleration.
Mathematical formula and logic
v = v₀ + a·t, d = v₀·t + 0.5·a·t², v² = v₀² + 2·a·d, d = ((v₀ + v) / 2)·t.
Worked example
Starting from rest (v₀ = 0 m/s) with gravitational acceleration a = 9.81 m/s² for 5 seconds: Final velocity v = 0 + 9.81 × 5 = 49.05 m/s (176.6 km/h) and total fall displacement d = 0.5 × 9.81 × 5² = 122.63 meters.
Calculation assumptions
- Uniform constant linear acceleration.
- One-dimensional motion along a straight trajectory.
Frequently asked questions
What are the 4 fundamental kinematic equations?
1) v = v₀ + at, 2) d = v₀t + 0.5at², 3) v² = v₀² + 2ad, 4) d = ((v₀ + v)/2)t.
What does 'SUVAT' stand for in physics?
SUVAT is an acronym for the 5 kinematic variables: S (Displacement), U (Initial Velocity), V (Final Velocity), A (Acceleration), and T (Time).
What is standard gravitational acceleration on Earth?
Standard Earth surface gravity is defined by CODATA as g = 9.80665 m/s² (approx 32.174 ft/s²).
Can acceleration be negative in kinematics?
Yes, negative acceleration indicates deceleration (slowing down in the positive direction) or speeding up in the negative coordinate direction.
When do kinematic equations fail?
Kinematic equations apply only when acceleration is constant. If acceleration changes dynamically over time (such as aerodynamic air drag proportional to velocity squared), calculus differential equations are required.