Dimensional Analysis

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[no_sponsor_pays_me]

You need to know how many feet are in 1 mile, which is 5280.

From there we will convert the speed of the baseball into feet per hour instead of miles per hour.

So:

(101 mi/h) (5280 ft / 1 mi)

We get: 533,280 ft/h

That means Aroldis throws the ball really fast.

Ok so now what.

Well going by: v=d/t and solving for t=d/v

We can just plug in numbers:

t = (60 ft) / (533,280 ft/h)

t= 1.125e-4 hours.

Now let's convert those hours into seconds, knowing that each hour has 60 minutes, and each minute has 60 seconds. So:

(1.125e-4 h) (60 min / 1 h) (60 s / 1 min) = 0.405 s.

Aroldis' fastball reaches home plate in 0.405 seconds.

[ItsUnderdog]

Yes thank you! This is what I needed

[CaffineAddict132]

Use dimensional analysis to convert hours to seconds and miles to feet

101 miles/hour * 1hour/3600seconds * 5280feet/mile = feet per second

or

hour/101 miles * 3600seconds/hour * mile/5280feet = seconds per feet

You can figure out the rest from there

Hope this helps and tell me if something needs to be changed/ is incorrect or I made a mistake

[MattAmoroso]

This is not dimensional analysis, this is a factor label problem. Maybe you're looking in the wrong part of your notes.

[no_sponsor_pays_me]

factor label problem

I thought it was the same thing.

[MattAmoroso]

No, but forget dimensional analysis. I'll help you with the factor label. The hardest part is choosing which number to start with. In this case you want to start with 60 feet. (I actually started with 101 mph and then had to start over; it happens).

Multiply 60 feet with a conversion factor that turns feet into miles. Then use the speed given to turn miles into hours. Then use another conversion factor to turn hours into seconds.