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7-20.
  1. A point travels along the x-axis so that at time t, where 0 ≤ t ≤ 5, its position is s(t) = t3 − 5t2 + 4t. Homework Help ✎

    1. What does s(t) represent?

    2. Where is the particle located when t = 5?

    3. Find the velocity of the particle when its acceleration is zero.

The point's position along the x-axis.

Calculate s(5).

Velocity is the derivative of position, and acceleration is the derivative of velocity.