SUVAT Calculator

SUVAT equations describe one-dimensional motion when acceleration remains constant. The letters identify displacement s, initial velocity u, final velocity v, acceleration a, and elapsed time t. Because the equations link all five quantities, any suitable set of three known values is enough to determine the remaining two. This calculator selects the appropriate pair of equations automatically, saving the algebra required when solving mechanics exercises, vehicle motion questions, free-fall approximations, or laboratory measurements. Use consistent SI units for a direct result: metres for displacement, metres per second for velocity, metres per second squared for acceleration, and seconds for time. Signs carry physical meaning. Choose one direction as positive before entering data. A negative acceleration can represent braking when velocity is positive, while a negative displacement means the object finishes on the opposite side of the chosen origin. The calculator does not remove signs or assume that every quantity must be positive. The constant-acceleration assumption matters. SUVAT is appropriate for idealized projectile components, uniformly accelerating vehicles, and short free-fall problems where gravitational acceleration can be treated as fixed. It is not suitable when drag changes strongly with speed, thrust varies over time, acceleration depends on position, or motion changes direction under several distinct acceleration stages. Split such a journey into separate intervals or use a numerical model instead. When a squared-velocity equation is required, more than one mathematical direction can sometimes satisfy the supplied magnitudes. This solver reports the principal real solution and checks that intermediate values are finite. You should still compare the sign and time with the physical scenario. A negative calculated time usually signals inconsistent direction conventions or a solution that lies before the chosen starting instant. For classroom work, write down the equation used, substitute values with units, and round only the final answer. Keeping extra precision during intermediate calculations reduces avoidable rounding error and makes the displayed result a reliable check on hand calculations.