Answer to Question #149174 in Physics for kashif

Question #149174

Towards the end of a 400m race, Faisal and Edward are leading and are both running at
6m/s. While Faisal is 72m from the finish line Edward is 100m from the finish line.
Realising this and to beat Faisal, Edward decides to accelerate uniformly at 0.2 m/s2
until
the end of the race while Faisal keeps on the same constant speed. Does Edward succeed in
beating Faisal?

Expert's answer

"t=\\frac{s_F}{v}=\\frac{72}{6}=12\\ s"

"s_E=vt+0.5at^2\\\\s_E=(6)(12)+0.5(0.2)(12)^2=86.4\\ m<100\\ m"

Edward does not succeed in beating Faisal!