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Sagot :
It will take 0.4 seconds to get to the home plate.
Given:
The speed of the pitch thrown by Justin is 100 miles per hour
The distance of home plate from the pitching rubber is 60.5 feet
To find:
The time taken by a pitch to reach the home plate
Solution:
The distance home plate from the pitching rubber = d = 60.5 feet
[tex]1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles[/tex]
The speed of pitch thrown by Justin = s = 100 miles/hr
The time taken by a pitch to reach the home plate = t =?
The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.
[tex]Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr[/tex]
In an hour there are 3600 seconds, then in 0.000114583 hours will be:
[tex]1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s[/tex]
It will take 0.4 seconds to get to the home plate.
Learn more about conversions here:
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brainly.com/question/17743460
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