Author Question: How to calculate time in flight for a baseball pitch? (Read 3518 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?

When blood is deoxygenated and flowing back to the heart through the veins, it is dark reddish-blue in color. Blood in the arteries that is oxygenated and flowing out to the body is bright red. Whereas arterial blood comes out in spurts, venous blood flows.

Did you know?

Though the United States has largely rejected the metric system, it is used for currency, as in 100 pennies = 1 dollar. Previously, the British currency system was used, with measurements such as 12 pence to the shilling, and 20 shillings to the pound.

Did you know?

Colchicine is a highly poisonous alkaloid originally extracted from a type of saffron plant that is used mainly to treat gout.

Did you know?

According to the FDA, adverse drug events harmed or killed approximately 1,200,000 people in the United States in the year 2015.

Did you know?

There used to be a metric calendar, as well as metric clocks. The metric calendar, or "French Republican Calendar" divided the year into 12 months, but each month was divided into three 10-day weeks. Each day had 10 decimal hours. Each hour had 100 decimal minutes. Due to lack of popularity, the metric clocks and calendars were ended in 1795, three years after they had been first marketed.

For a complete list of videos, visit our video library