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SUVAT / Kinematics Calculator

Give any three of s, u, v, a, t and get the missing values plus the exact SUVAT equation used for each. Free kinematics solver for GCSE, A-level, AP Physics and JEE.

Fill in any three values and leave the other two blank.

Solved values

s = 44.1 m
u = 0 m/s
v = 29.4 m/s
a = 9.8 m/s²
t = 3 s
  1. 1

    Find v with v = u + at

    Use v = u + at — it contains no s (which we don't know yet), so v is the only unknown.

    v=u+at=0+(9.8)(3)=29.4 m/sv = u + at = 0 + (9.8)(3) = 29.4\ \text{m/s}
  2. 2

    Find s with s = ut + ½at²

    Use s = ut + ½at² — it contains no v (which we don't know yet), so s is the only unknown. (Using only given values avoids carrying rounding errors.)

    s=ut+12at2=(0)(3)+12(9.8)(3)2=44.1 ms = ut + \tfrac{1}{2}at^2 = (0)(3) + \tfrac{1}{2}(9.8)(3)^2 = 44.1\ \text{m}
  3. 3

    Summary

    All five SUVAT quantities (constant acceleration):

    s=44.1 m,u=0 m/s,v=29.4 m/s,a=9.8 m/s2,t=3 ss = 44.1\ \text{m},\quad u = 0\ \text{m/s},\quad v = 29.4\ \text{m/s},\quad a = 9.8\ \text{m/s}^2,\quad t = 3\ \text{s}

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FAQ

What are the SUVAT equations?

v = u + at, s = ut + ½at², v² = u² + 2as, s = ½(u + v)t and s = vt − ½at².

How many values do I need?

Any three of the five (with constant acceleration).

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