Dimensional Analysis can be used to approximate the number of seconds a major league batter has to react to a pitch. In Major League Baseball, pitches are measured in miles per hour, but distances on the field are measured in feet. Suppose a pitcher throws a 90 mph football.. Use dimensional analysis to convert the speed, or rate, from miles per hour to feet per second. Show your work

132 feet/second

Step-by-step explanation:

Before we can attempt converting 90 mph to feet per second, it is necessary that we first determine the value of one mile in feet and one hour in seconds.

1 mile is equal to 5280

1 hour is equal to :

1 minute 60seconds

60 minutes ?

(60/1) × (60/1)

= 3600 seconds.

Therefore 1hour = 3600seconds.

Since 90 mph will be converted to feet per second, we can convert 90 miles to feet first.

1 mile 5280 feet

90miles ?feet

90/1 × 5280

= 475200

So, the pitcher threw a 475200 feet per hour football.

Now, since 3,600seconds make 1 hour, we now determine how many feet the ball can cover in 1 second since the speed of the ball is 475200 feet in 3600seconds:

475200 feet 1 hour(3600 seconds)

? feet 1 second

= (1/3600)×(475200/1)

= 132 feet

Therefore converting 90miles per hour will give 132 feet/second

Alternatively, we can calculate this way:

(miles/hour) × [feet(1 mile in feet)/seconds( 1 hour in seconds)]

= (90/1) × (5280/3600)

= 132feet/sec

(-1,-0.5)

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