Chapter 4.3, Problem 104E

(a)

To determine

To calculate: The velocity function for the particle if $s\left(t\right)=t^3-20t^2+128t-280$.

(b)

To determine

To calculate: The interval where the particle is moving in the positive direction if $s\left(t\right)=t^3-20t^2+128t-280$.

(c)

To determine

To calculate: The interval where the particle is moving in the negative direction if $s\left(t\right)=t^3-20t^2+128t-280$.

(d)

To determine

To calculate: The time when the direction of the particle changes if $s\left(t\right)=t^3-20t^2+128t-280$.