# The equation of motion of a particle is s = t4 - 2t^3 + t^2 - t, where s is in meters and t is in seconds. Graph the postion, velocity, and acceleration function on the same screen.

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### 1 Answer

The displacement of the particle is `s = t^4 - 2t^3 + t^2 - t`

The velocity is `(ds)/dt = 4t^3 - 6t^2 + 2t - 1`

The acceleration is `(d^2s)/(dt^2) = 12t^2 - 12t + 2`

Plotting the three on the same graph gives where the displacement is in black, the velocity is in red and the acceleration is in green.