### Home > CALC > Chapter 7 > Lesson 7.1.2 > Problem7-20

7-20.

A point travels along the $x$-axis so that at time $t$, where $0 ≤ t ≤ 5$, its position is $s(t) = t^3-5t^2 + 4t$.

1. What does $s(t)$ represent?

The point's position along the $x$-axis.

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

Calculate s$\left(5\right)$.

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

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