**A lab cart travels along the x-axis and its position as a function of time is given by the following expression: x(t)= 6m - (8 m/s)t + (1 m/s**

^{2})t^{2}1. Displacement of cart during time interval t=0s to t=2s

2. [tex]\Delta[/tex]x of cart during time interval t=2s to t=3s.

3. [tex]\Delta[/tex]x of cart during time interval t=0s to t=5s.

4. Total distance from t=0s to t=5s.

5. Initial velocity (@t=0) in m/s.

6. Average velocity from t=0s to t=5s.

7. Average speed (m/s) t=0s to t=5s.

8. Instantaneous velocity (m/s) @ t=3s.

9. Acceleration in (m/s

^{2})

10. Where (if ever) does the cart change direction?