Science Common Sense

1655 - What is the mathematical relationship between displacement, velocity, acceleration, and time in uniformly accelerated linear motion?

In uniformly accelerated linear motion, the math relationships are:

  1. Displacement (distance moved) = Initial velocity + (acceleration × time²) / 2 or s = vit + (at²)/2

  2. Final velocity (speed at the end) = Initial velocity + acceleration × time or vf = vi + a*t

  3. Acceleration = Final velocity - Initial velocity ÷ time or a = (vf - vi)/t

These formulas help us figure out how something moves when it's speeding up or slowing down at a steady rate.

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