A particle accelerates from rest at constant rate
\[
\alpha=6\ \text{m s}^{-2}
\]
for some time, after which it decelerates at constant rate
\[
\beta=4\ \text{m s}^{-2}
\]
to come to rest. If the total time of travel is \(10\) seconds, what is the maximum speed attained by the particle during its motion?