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.
. . It is at the origin and is moving to the left.
. . It has moved 3200 units to the left ... and has stopped.
An instant later, it is moving to the right.
. . It has moved: . units to the right.
It moved a total of: .