Answer:
He will complete the race in total time of T = 10 s
Explanation:
Total distance moved by the sprinter in 2.14 s is given as
[tex]s = \frac{(v_{in} + v_{f})}{2} time[/tex]
[tex]s = \frac{(0 + 11.2)}{2} (2.14)[/tex]
[tex]s = 11.98 m[/tex]
now the distance remaining to move
[tex]d = 100 - 11.98 = 88 m[/tex]
now he will move with uniform maximum speed for the remaining distance
so we will have
[tex]time = \frac{d}{v}[/tex]
[tex]time = \frac{88}{11.2} = 7.86 s[/tex]
so the total time to complete the race is given as
[tex]T = 7.86 + 2.14 = 10 s[/tex]
