A bike accelerates from rest at a constant rate \[5\,\,m/{{s}^{2}}\] for some time after which it decelerates at a constant rate \[3\text{ }m/{{s}^{2}}\] to come to rest. If the total time elapsed is 8 second, the maximum velocity acquired by the bike is given by

• A. 5 m/s   
• B. 10 m/s
• C. 12 m/s  
• D. 15 m/s