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.
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.
Solve for C using the pairs
The position function therefore is
Solve for k using the pair