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Calculate the next position with an Euler step

Theory

Calculate the next position with an Euler step

In an Euler step, you use the current velocity to estimate the position one time step later.

The displacement in that step is velocity × time step.

Use: new position = current position + velocity × time step.

  1. Read position, velocity and time step
    Take the current position, current velocity and time step from the problem.
  2. Calculate velocity × time step
    Work out the intermediate step using the values from the problem.
  3. Add it to the position
    Work out the intermediate step using the values from the problem.
A model has x = 10 m, v = 4 m/s and dt = 0,2 s. Calculate the next position.
  1. Read position, velocity and time step
    Position = 10 m. Velocity = 4 m/s. Time step = 0,2 s.
  2. Calculate velocity × time step
    4 × 0,2 = 0,8 m.
  3. Add it to the position
    10 + 0,8 = 10,8 m.

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