A drag racer watching the Christmas tree is doing kinematics — the geometry of motion without asking what causes it. The workhorse equation, s = ut + ½at², splits any trip into two legs: the coasting leg (initial velocity times time) and the acceleration bonus (half a t squared). A car launching at 20 ft/s and accelerating at 30 ft/s² covers 20 feet in the first second from coasting — plus 15 from acceleration — and the acceleration leg grows quadratically from there.

Traffic engineers use the same split to set yellow-light timing: the coasting leg covers the driver's reaction distance, the braking leg (negative acceleration) covers the stop. Accident reconstruction runs it backward from skid marks to pre-braking speed. The equation never asks about mass, force, or engines — only the shape of the motion.

This calculator evaluates the coasting leg, the foundation of every kinematics problem. Type the initial velocity in the Variable A box — feet per second for US work — and the time in seconds in the Variable B box. The Result box gives u × t, the distance covered at the starting speed alone. Add ½at² for the acceleration bonus and you have the full displacement.

With the pre-filled defaults — Variable A 10, Variable B 5 — the Kinematic Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.