CPM Homework Help : CALC Problem 7-20

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.

Answer (a):

The point's position along the x-axis.

Steps (b):

Calculate s(5).

Hint (c):

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