Two physics professors challenge each other to a 100 m race across a football field. the loser will grade the winner’s lab reports for a month. dr. nelson runs the race is 10.40s. dr. bay runs the first 25.0 m with an average speed of 10.0 m/s, he next 50.0 m with an average speed of 9.50 m/s, and the last 25.0 m with an average speed of 11.1 m/s. who is the winner?

If Dr. Nelson's simple average speed all the way is 10.40 m/s

And Dr. Bay's average speed would be x=100/(10.0/4+9.5/2+11.1/4)=400/40.1=4000/401=9.9m/s

then he would be first in line

Dr. Nelson

Explanation:

The velocity of Dr. Nelson = Distance of the race/ time taken to complete the race

V= 100/10.40 = 9.615m/s

The average velocity of Dr. Bay is

10 + 9.50 + 11.1 / 3 = 10.2m/s

Comparing the average speed of the two racers, Dr. Nelson finished the race with 9.615m/s and Dr. Bay finished with 10.2m/s. Therefore Dr. Nelson won the race

see earlier