Answer:
If he runs the first 1150 m in 500 s he will pass the test.
He need to run remaining 100 m at 0.8 m/s to pass the test
Explanation:
We know the equation of motion [tex]s = ut+\frac{1}{2} at^2[/tex], where s is the displacement, u is the initial velocity, t is the time taken and a is the acceleration.
When he runs 1150 m in 500 s, s = 1150 m, t = 500 s and a = 0 [tex]m/s^2[/tex].
Substituting
[tex]1150 = u*500+\frac{1}{2} *0*500^2\\ \\ u = 2.3 m/s[/tex]
So his speed is more than 2 m/s, so he can pass the test.
If massimo is covering 1250 m at an average rate of 2.0 m/s, time taken by him.
[tex]1250 = 2*t+\frac{1}{2} *0*t^2\\ \\ t = 625 s[/tex]
So he need to cover remaining 100 m in (625-500) = 125 seconds.
Speed required = Distance /Time = 100/125 = 0.8 m/s.
So he need to run remaining 100 m at 0.8 m/s to pass the test.
