A drag racer crosses the finish line of a 400.0-m track with a final speed of 104 m/s. (a) Assuming constant acceleration during the race, find the racer’s time and the minimum co efficient of static friction between the tires and the road. (b) If, because of bad tires or wet pavement the acceleration were 30.0% smaller, how long would it take to finish the race?

1 answer

Vf^2=2ad
solve for a.

But force=ma
or mu*mg=ma
or mu=a/g is minimum coefficient

if a is .7 of the original, then

distance=1/2 a t^2 or t= sqrt 2distance/a

so what is the square root of (1/.7) ?