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

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}− 5*t*^{2}+ 4*t*. Homework Help ✎What does

*s*(*t*) represent?Where is the particle located when

*t*= 5?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.