Hello, coldfire!

I will assume that:

Position of a particle at time : .

I found the total distance traveled during the first 19 secs is 7448, right? . . . . no

I need help figuring this out:

The particle is at rest after ___ seconds.

. . Is it 8? . . .the answer doesn't work . . . . yes, it does

Also, the particle is moving forward in the time interval t > 8

and backward in the time interval t < 8, is this right? . . . . Yes!

The position function is: .

The velocity function is: .

The velocity is zero when: .

. . Factor:.

Let's examine the behavior of the particle.

At

. . It is at the origin and is moving to theleft.

At

. . It has moved 3200 units to the left ... and has stopped.

An instant later, it is moving to the right.

At

. . It has moved: . units to the right.

It moved a total of: .