What kinematics equations does the calculator support?

The calculator uses the four SUVAT equations: v = u + at, s = ut + (1/2)at^2, v^2 = u^2 + 2as, and s = (u+v)t/2. Enter any three of the five variables (displacement, initial velocity, final velocity, acceleration, time) to solve for the remaining two.

What is Newton's second law?

F = ma, where F is force in newtons, m is mass in kilograms, and a is acceleration in m/s^2. The calculator can solve for any of the three variables given the other two.

How do I calculate kinetic energy?

KE = (1/2) times m times v^2, where m is mass in kg and v is velocity in m/s. The result is in joules. For an object of mass 5 kg moving at 10 m/s: KE = 0.5 times 5 times 100 = 250 J.

What is the wave equation?

v = f times lambda (wave speed = frequency times wavelength). Given any two values, the third can be calculated. For light in vacuum: v = 3 times 10^8 m/s.

Physics Calculator — Kinematics & Forces

How this tool fits your workflow

Kinematics: motion under constant acceleration

Kinematics describes motion without considering forces. The SUVAT equations apply when acceleration is constant: s = displacement (m), u = initial velocity (m/s), v = final velocity (m/s), a = acceleration (m/s^2), t = time (s). With any three known, the other two can be found.

Projectile motion is a common application: a ball thrown horizontally has constant horizontal velocity and constant downward acceleration (g = 9.81 m/s^2). Horizontal and vertical motions are independent — solve them separately and combine for the full trajectory.

Energy and power

Kinetic energy (KE = (1/2)mv^2) is the energy of motion. Potential energy (PE = mgh) is stored gravitational energy. Work-energy theorem: net work done on an object equals its change in kinetic energy. Power (P = W/t) is the rate of energy transfer in watts.

Energy conservation: in a closed system without friction, total mechanical energy (KE + PE) is constant. A ball dropped from height h reaches the ground with velocity v = sqrt(2gh), all potential energy converted to kinetic.

Frequently asked questions

What kinematics equations does the calculator support?: The calculator uses the four SUVAT equations: v = u + at, s = ut + (1/2)at^2, v^2 = u^2 + 2as, and s = (u+v)t/2. Enter any three of the five variables (displacement, initial velocity, final velocity, acceleration, time) to solve for the remaining two.
What is Newton's second law?: F = ma, where F is force in newtons, m is mass in kilograms, and a is acceleration in m/s^2. The calculator can solve for any of the three variables given the other two.
How do I calculate kinetic energy?: KE = (1/2) times m times v^2, where m is mass in kg and v is velocity in m/s. The result is in joules. For an object of mass 5 kg moving at 10 m/s: KE = 0.5 times 5 times 100 = 250 J.
What is the wave equation?: v = f times lambda (wave speed = frequency times wavelength). Given any two values, the third can be calculated. For light in vacuum: v = 3 times 10^8 m/s.