Kinematics Calculator
Calculate velocity, acceleration, time, and distance using kinematics equations
Fill in the known values below and the final velocity will be calculated automatically.
Kinematics Formulas
v = u + at (Final velocity = Initial velocity + Acceleration × Time)
s = ut + ½at² (Distance = Initial velocity × Time + ½ × Acceleration × Time²)
v² = u² + 2as (Final velocity² = Initial velocity² + 2 × Acceleration × Distance)
s = ½(u + v)t (Distance = ½ × (Initial velocity + Final velocity) × Time)
About Kinematics
Kinematics is the branch of physics that describes the motion of objects without considering the forces that cause the motion. It focuses on concepts such as displacement, velocity, acceleration, and time.
Kinematics Equations
There are four main kinematics equations that relate displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t):
- v = u + at (Final velocity = Initial velocity + Acceleration × Time)
- s = ut + ½at² (Displacement = Initial velocity × Time + ½ × Acceleration × Time²)
- v² = u² + 2as (Final velocity² = Initial velocity² + 2 × Acceleration × Displacement)
- s = ½(u + v)t (Displacement = ½ × (Initial velocity + Final velocity) × Time)
Applications of Kinematics
Kinematics is fundamental to many fields including engineering, robotics, sports science, and animation. Engineers use kinematics to design machines with moving parts, sports scientists analyze athletic performance, and animators create realistic motion in computer graphics.
One-Dimensional vs. Two-Dimensional Kinematics
One-dimensional kinematics deals with motion along a straight line, while two-dimensional kinematics involves motion in a plane. In two-dimensional kinematics, the motion can be analyzed by breaking it down into two independent one-dimensional motions along perpendicular axes.