Given:
Initial velocity \( u = 0 \, \text{m/s} \) (since the car starts from rest)
Acceleration \( a = 3 \, \text{m/s}^2 \)
Time \( t = 5 \, \text{s} \)
We use the first equation of motion:
\[
v = u + at
\]
Substituting the values:
\[
v = 0 + (3)(5) = 15 \, \text{m/s}
\]
Option (b) is correct.