A particle moves along a coordinate axis, with the positive direction to the right. Its position at time t is given by $\displaystyle {s}{\left({t}\right)}={t}^{{3}}-{t}+{1}$. Find $\displaystyle {v}{\left({1}\right)}$ and $\displaystyle {a}{\left({1}\right)}$ and use these values to answer the following questions.

1. What is $\displaystyle {v}{\left({1}\right)}$?
   $\displaystyle {v}{\left({1}\right)}=$
2. Is the particle moving from left to right or from right to left or neither at time $\displaystyle {t}={1}$?
   
   • left to right
   • right to left
   • neither
   
   
3. What is $\displaystyle {a}{\left({1}\right)}$?
   $\displaystyle {a}{\left({1}\right)}=$
4. Is the particle speeding up or slowing down or neither at time $\displaystyle {t}={1}$?
   
   • slowing down
   • speeding up
   • neither