Question

You drive in a straight line at 24.0 m/s for 10.0 miles, then at 30.0 m/s for another 10.0 miles. Part A Is your average speed 27.0 m/s , more than 27.0 m/s , less than 27.0 m/s ?

Answer 1

Answer:

less than 27 m/s

Explanation:

The average speed would be total distance (10 + 10 = 20 miles = 32000 m) over total time

The time it takes you to drive the first 10 miles (16000 m) at 24m/s is

16000 / 24 = 666.67 s

The time it takes you to drive the 2nd 10 miles (16000 m) at 30 m/s is

16000 / 30 = 533.33 s

The average speed is

$v = \frac{16000 + 16000}{666.67 + 533.33} = \frac{32000}{1200} = 26.67 m/s$ < 27 m/s

So your average speed is less than 27 m/s