**A particle moves along a line so that its**

**position at any time t ≥: 0 is given by the function 5{t) =**

**-t/3 + 7t/2 - 14t + 8 where s is measured in meters and tis**

**measured in seconds.**

**(a) Find the instantaneous velocity at any time I.**

**(b) Find the acceleration of the particle at any time t.**

**© When is the particle at rest?**

**(d) Describe the motion of the particle. At what values of I does**

**the particle change directions?**

**Answer:**