How it’s calculated
For motion in a straight line with constant acceleration, the SUVAT equations link displacement s, initial velocity u, final velocity v, acceleration a and time t.
Example: a car starting from rest (u = 0) accelerating at 2 m/s² for 10 s reaches v = 0 + 2 × 10 = 20 m/s (72 km/h) and covers s = ½ × 2 × 10² = 100 m.
Negative results mean the motion is in the opposite direction to the one you chose as positive.
Frequently asked questions
What does SUVAT stand for?
The five variables: s (displacement), u (initial velocity), v (final velocity), a (acceleration) and t (time).
Can I use this for falling objects?
Yes, ignoring air resistance. Use a = 9.80665 m/s² with downward as positive.
Does it work if acceleration changes?
No. These equations assume constant acceleration. For varying acceleration you need calculus or a step-by-step simulation.
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Sources
- University Physics Volume 1, §3.4 Motion with Constant Acceleration — OpenStax
- CODATA value: standard acceleration of gravity — NIST
Formulas are taken from the free public references above. Results are provided “as is” for informational and educational purposes only. See our disclaimer.
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