The winner of the Kentucky Derby runs the 1.25-mile race in 2 minutes, 2.0 s.What's the horse's average speed in {\rm m}/{\rm s}?

t = 2 min * 60s/min + 2s = 122 sec.

d = 1.25miles * 5280ft/mile = 6600 feet
d = 6600ft * 3.3m/ft = 21780 meters

V = 6600ft / 122s = 54.1ft/s
V = 21780m / 122s = 178.5 m/s.

V = 1.25 miles / 122s * 3600 s/hr =

36.9 miles/hr.

Henry's meter per secnd answer is incorrect.

There are not 3.3 meters per foot. There are 0.3048

drwls is correct!

I meant to write:
6600ft *(1/3.3)m/ft = 6600 / 3.3 = 2000m

V = 2000m / 122s = 16.39m/s

To find the horse's average speed in meters per second (m/s), we need to convert the distance from miles to meters and the time from minutes and seconds to seconds.

First, let's convert the distance:
1 mile is equivalent to 1609.34 meters. So, the distance of 1.25 miles is equal to 1.25 x 1609.34 = 2011.675 meters.

Next, let's convert the time:
2 minutes is equal to 2 x 60 = 120 seconds.
Adding the 0.2 seconds gives us a total time of 120 + 0.2 = 120.2 seconds.

Now we can calculate the average speed by dividing the distance by the time:
Speed = Distance/Time

Speed = 2011.675 meters / 120.2 seconds

Calculating this gives us a speed of approximately 16.716 m/s.

Therefore, the horse's average speed in m/s is approximately 16.716 m/s.