Author Question: How to calculate time in flight for a baseball pitch? (Read 3082 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?

To maintain good kidney function, you should drink at least 3 quarts of water daily. Water dilutes urine and helps prevent concentrations of salts and minerals that can lead to kidney stone formation. Chronic dehydration is a major contributor to the development of kidney stones.

Did you know?

The term bacteria was devised in the 19th century by German biologist Ferdinand Cohn. He based it on the Greek word "bakterion" meaning a small rod or staff. Cohn is considered to be the father of modern bacteriology.

Did you know?

There are approximately 3 million unintended pregnancies in the United States each year.

Did you know?

Hyperthyroidism leads to an increased rate of metabolism and affects about 1% of women but only 0.1% of men. For most people, this increased metabolic rate causes the thyroid gland to become enlarged (known as a goiter).

Did you know?

Parkinson's disease is both chronic and progressive. This means that it persists over a long period of time and that its symptoms grow worse over time.

For a complete list of videos, visit our video library