Rabid texas basketball fans have been known to rush out of their laboratory class at 5:00 p.m. and immediately get on highway i-35 to arrive in waco, 100 miles away, at 7:00 p.m. to see the baylor-longhorn basketball game. they spend 4 hours watching and then celebrating the outcome of the game, and then drive 2 hours back to austin. after they completed their trip, what is their mean velocity for their trip? mph is miles per hour

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aristocles aristocles · Answer 1 · 2018-09-18T03:05:30+02:00

Average velocity is defined as

[tex]v_{mean} = \frac{displacement}{time}[/tex]

here for the whole trip we know that

[tex]displacement = 0[/tex]

so

[tex]v_{mean} = 0[/tex]

now for the average speed we can say

[tex]v_{mean} = \frac{distance}{time}[/tex]

here total distance is given as

[tex]d = 100 miles + 100 miles = 200 miles[/tex]

[tex]t = 2 + 4 + 2 = 8 hours[/tex]

now the average speed is given as

[tex]v_{mean} = \frac{200}{8} = 25 mph[/tex]

so this is the mean speed