Runner A is initially 5.8 km west of a flagpole and is running with a constant velocity of 8.6 km/h due east. Runner B is initially 4.9 km east of the flagpole and is running with a constant velocity of 7.1 km/h due west. How far are the runners from the flagpole when their paths cross? Answer in units of km.

Runner A will be 0.05 km from the flagpole, and runner B will be 0.07 km from the flagpole

Explanation:

We can find when their paths will cross as follows:

Where:

is the final position

is the initial position

v₀ is the initial speed

t is the time

a is the acceleration = 0 (since they are running with a constant velocity)

When their paths cross we have:

Now we can find the final distance of each runner.

Therefore, runner A will be 0.05 km from the flagpole, and runner B will be 0.07 km from the flagpole.

I hope it helps you!