Author Question: How to calculate time in flight for a baseball pitch? (Read 1596 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?

Cucumber slices relieve headaches by tightening blood vessels, reducing blood flow to the area, and relieving pressure.

Did you know?

The cure for trichomoniasis is easy as long as the patient does not drink alcoholic beverages for 24 hours. Just a single dose of medication is needed to rid the body of the disease. However, without proper precautions, an individual may contract the disease repeatedly. In fact, most people develop trichomoniasis again within three months of their last treatment.

Did you know?

Interferon was scarce and expensive until 1980, when the interferon gene was inserted into bacteria using recombinant DNA technology, allowing for mass cultivation and purification from bacterial cultures.

Did you know?

Approximately 70% of expectant mothers report experiencing some symptoms of morning sickness during the first trimester of pregnancy.

Did you know?

Elderly adults are at greatest risk of stroke and myocardial infarction and have the most to gain from prophylaxis. Patients ages 60 to 80 years with blood pressures above 160/90 mm Hg should benefit from antihypertensive treatment.

For a complete list of videos, visit our video library