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How do you calculate total displacement?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

To calculate total displacement:

  1. For straight-line motion: Subtract the initial position from the final position
  2. For motion in multiple directions: Use vector addition. Break each displacement into components (x and y directions), add all x-components together and all y-components together, then use the Pythagorean theorem: Total displacement = √(Δx² + Δy²)
  3. From a velocity-time graph: Calculate the area under the curve, considering areas above the time axis as positive and below as negative

What does a = (v - u)/t represent?

This is the formula for acceleration, where:

  • a = acceleration
  • v = final velocity
  • u = initial velocity
  • t = time taken

It calculates the rate of change of velocity over time. If you rearrange this formula, you get v = u + at, which is one of the fundamental equations of motion used to find displacement and other kinematic quantities.

General · Class 12