Author Question: How to calculate time in flight for a baseball pitch? (Read 1574 times)

mydiamond

  • Hero Member
  • *****
  • Posts: 804
Starting speed: 89.6 mph
Ending speed: 77.7 mph
Distance travelled: 55 feet

How can I calculate the time in flight?
Is it possible to make an Excel formula so I can just plug in the numbers?



clippers!

  • Hero Member
  • *****
  • Posts: 828
Well, you know distance, v1, v2, and acceleration.

Try this equation:

d = t*(v2-v1)/2

Isolate for t.



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question

Garrulous

  • Hero Member
  • *****
  • Posts: 686
Sure.  Start with the basic position/acceleration formula:

x= v0(t) + 1/2a(t^2)

x=55/5280 (to put it in miles), v0=89.6, and a=average acceleration = change in velocity/change in time = 11.9mph/t

pump these in the formula and you get

55/5280 = 89.6t + (5.95/t)(t^2)

55/5280= 89.6t + 5.95t

Notice that the nasty t^2 term gets taken care of by the /t you carried in from the a formula, so rearrange this to isolate t and you have your answer:

(55/5280)/(89.6+5.95)

The excel formula should look like this:

(distance in miles)/(starting speed in mph + 1/2 the change in speed in mph)  = time in hours.

I'll assume you can do the unit conversion if you want this is seconds, and since you're going to code this I won't bother to punch the calculator for you.



 

Did you know?

Amphetamine poisoning can cause intravascular coagulation, circulatory collapse, rhabdomyolysis, ischemic colitis, acute psychosis, hyperthermia, respiratory distress syndrome, and pericarditis.

Did you know?

Automated pill dispensing systems have alarms to alert patients when the correct dosing time has arrived. Most systems work with many varieties of medications, so patients who are taking a variety of drugs can still be in control of their dose regimen.

Did you know?

If all the neurons in the human body were lined up, they would stretch more than 600 miles.

Did you know?

All adults should have their cholesterol levels checked once every 5 years. During 2009–2010, 69.4% of Americans age 20 and older reported having their cholesterol checked within the last five years.

Did you know?

Children with strabismus (crossed eyes) can be treated. They are not able to outgrow this condition on their own, but with help, it can be more easily corrected at a younger age. It is important for infants to have eye examinations as early as possible in their development and then another at age 2 years.

For a complete list of videos, visit our video library