Question

Speedy Gonzales and the Road Runner are racing each other in the 100 m long dash. Speedy travels at a constant velocity of 6.80 m/s for the entire race and the Road Runner accelerates 2 mfrom rest at 1.60 m/s . Who wins the race? 

Answer 1

$$t_1=\frac{s}{v}=\frac{100}{6.8}=14.7\ s$$

$$t_2=\sqrt{2\frac{s}{a}}=\sqrt{2\frac{100}{1.6}}=11.2\ s<t_1$$

Road Runner wins the race.