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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