The “strike zone” or distance across home plate is 17 inches. Determine how long a baseball pitched at 90 mph is in the strike zone. Show your work

The ball will spend 10,730.4012 microseconds in the strike zone

Step-by-step explanation:

Here, we want to calculate the time spent by a ball in the strike zone given the distance across the strike zone and the speed of the ball

Mathematically, we have ;

time = distance/speed

Before we proceed to use this formula, we need to have the parameters in the same units

So let’s convert 17 inches to miles

Mathematically;

1 inch = 1.578 * 10^-5 mile

So 17 inches = 1.578 * 10^-5 * 17 = 0.00026826 miles

So let’s now calculate the time

That will be;

0.00026826/90 = 0.000002980667 hours

It will be best if we convert this to seconds

Mathematically,

60 seconds = 1 minute

60 minutes = 1 hour

So the number of seconds in an hour is 60 * 60 = 3600 seconds

= 0.000002980667 * 3600 = 0.0107304012

Mathematically, 1 second = 10^6 microseconds

Thus multiplying 0.0107304012 by 10^6

we have; 10,730.4012 micro seconds

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i