While running around the track at school, Milt notices that he runs due East in the 100m homestretch and due West on the 100m backstretch. To train for the 800 m event, he runs both the 100 m homestretch and the 100m backstretch in 12.2 seconds. How do Mills velocities on the homestretch and backstretch compare

They have equal magnitudes and opposite directions.

The magnitude of both velocities will be same but direction will be opposite.

Explanation:

Distance on Homestretch = d1 = 100 m

Distance on backstretch = d2 = 100 m

Time = t = 12.2 s

Magnitude of velocity on Homestretch = V1 = d1/t = 100/12.2 = 8.196 m/s

Magnitude of velocity on backstretch = V2 = d2/t = 100/12.2 = 8.196 m/s

if we look at the racecourse, we will come to know that runner runs on homestretch and backstretch in opposite direction. Hence, magnitude of velocities will be same but direction will be opposite.