We can find the acceleration by using this formula
a= vf-vi/ t
To find the acceleration to reach the maximum velocity
[tex]a = (5.4-0)/5[/tex]
[tex]a = 1.08[/tex]. meters per second squared
We can find the distance coverted in first 5 seconds by following equation
s= vi t+ ½ at^2
[tex]s = 1/2(1.08)(5)^{2}[/tex]
[tex]s = 13.5[/tex]
He took 5 seconds to cover 13.5 meters and assuming he runs for the rest of the race at his maximum sprinting speed of 5.4 meters per seconds
[tex]t = \frac{s}{v}[/tex]
[tex]t = \frac{(100-13.5)}{5.4}[/tex]
[tex]t = 16.01[/tex]
Thus the total time to complete the race is
[tex]T = 16.01 + 5 = 21.01[/tex]
Now we can find the acceleration of the complete 100 meter race by using the first equation.
[tex]a = (5.4-0)/21.01[/tex]
[tex]a = 0.25[/tex]
So the overall acceleration will be 0.25 meters per second squared.
