Explanation:
It is given that,
Initial speed of sprinter, u = 0
Final speed of sprinter, v = 10 m/s
Time taken, t = 1.28 s
a. We need to find the acceleration of sprinter. It can be calculated using first equation of motion as :
[tex]a=\dfrac{v-u}{t}[/tex]
[tex]a=\dfrac{10\ m/s}{1.28\ s}[/tex]
[tex]a=7.81\ m/s^2[/tex]
b. Final speed of the sprinter, v = 36 km/h
Time, t = 0.000355 h
Acceleration, [tex]a=\dfrac{36}{0.000355}[/tex]
[tex]a=101408.45\ km/h^2[/tex]
Hence, this is the required solution.