### A particle’s velocity is described by the function where is in m/s, t is in s, and k is a constant. The particle’s position at is . At , the particle is at .

### PART A. Determine the units of *k* in terms of **m** and **s**.

*k*

**m**

**s**

ANSWER:We know that the unit for velocity is m/s and the unit for time is s. Therefore,

### PART B. Determine the value of the constant **k**.

**k**

ANSWER:Solve for C using the pairs

The position function therefore is

Solve for k using the pair