Question

“The distance from a pitcher's mound to home plate is 60' 6". The opposing team's ace reliever can throw his fastball at a speed of 100 MPH. To the nearest thousandth ofa second, now long will it take the ball to get to the plate?” please help me out!!!

Answer 1

To determine the time, we will use the following formula:

$S=\frac{d}{t},$

where S is speed, d is distance, and t is time.

Before substituting, we convert from feet inches to miles:

$60^{\prime}6"=\frac{60.5}{5280}miles.$

Substituting the above value, and S=100 MPH, we get:

$100MPH=\frac{60.5}{5280t},$

solving for t, we get:

$t=\frac{60.5}{5280*100}=\frac{11}{69000}hours.$

Finally, recall that:

$1\text{ hour=3600 seconds,}$

therefore:

$t=0.413\text{ seconds.}$

Answer:

$0.413\text{ seconds.}$