Simple SUVAT Solver — Step-by-Step SUVAT Equation Calculator

input u, v, a, s, t identify known variables if known contains u,a,t and v unknown: v = u + a*t elif known contains u,a,v and t unknown: solve v = u + a*t for t elif known contains u,a,t and s unknown: s = u*t + 0.5*a*t^2 elif known contains u,v,s and a unknown: a = (v^2 - u^2)/(2*s) ... 

Common pitfalls

  • Forgetting sign conventions (results with wrong sign are common).
  • Using v² = u² + 2 a s when s is not along the axis defined by u and v.
  • Ignoring multiple roots of quadratic solutions — pick the root consistent with the scenario (positive time, correct direction).
  • Mixing average velocity and instantaneous velocities without checking their definitions.

Quick reference

  • To find v when u, a, t known: v = u + a t
  • To find s when u, a, t known: s = u t + ⁄2 a t²
  • To find a when u, v, s known: a = (v² − u²) / (2 s)
  • To find t when s, u, v known: t = 2 s / (u + v) (derived from s = (u + v)/2 × t)

This should give you the tools to use — or build — a Simple SUVAT Solver and to work through kinematics problems step by step with confidence.

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