?
Solved

initial velocity

Posted on 2011-03-25
6
Medium Priority
?
1,243 Views
Last Modified: 2012-05-11
if a person shoots a basketball overhand from a position 8 feet above the floor then the path can sometimes be modeled by the quadratic function defined by
f(x)= -16x^2/0.434v^2+1.15x+8
where v is the initial velocity of the ball in feet per second...so if the hoop is 10 feet high and 15 feet away what initial velocity does the basketball have?

- So I did what the online homework said to do and subed 15 for x and put it in the graphing calc and then put y= 10 in the graph calc and found the intersect...which is 0.044 but I can not for the life of me get the velocity


Totally feel like I am missing something critical.
Any help is appreciated.
Removed "Computer Servers" from the Zones.

rindi,
EE ZA Storage

Open in new window

0
Comment
Question by:MaxDes101
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
  • 3
  • 2
6 Comments
 
LVL 14

Expert Comment

by:charlestasse
ID: 35217734
You need to replace your hard drive
0
 
LVL 32

Expert Comment

by:phoffric
ID: 35219116
>> y = f(x)= -16  x²/0.434v² + 1.15x + 8

Any idea where this formula comes from?  I didn't try to derive the formula, but I'll accept it as a given, since I gather it is part of the problem. I guess buried in it are things like the angle at which the shooter throws the ball.

Did you miss a set of parenthesis. Do you think the formula is actually:
>> y = f(x)= -16  x²/(0.434v²) + 1.15x + 8

>> I did what the online homework said to do and subed 15 for x ... put y= 10

So, is this what you did?

10 =  -16 (15)²/(0.434v²) + 1.15(15) + 8

All I see here are numbers and v² which is solvable.
0
 
LVL 27

Expert Comment

by:aburr
ID: 35219404
Your equation is a mess
but given that there maybe dimensions  hidden in the constants and the it is a very special equation ,note that at x = 15 f(x) should be 10 because the ball should be at the height of the basket. putting x = 15 and f(x) = 10 the only unknown in your equation is v. solve for v.
0
VIDEO: THE CONCERTO CLOUD FOR HEALTHCARE

Modern healthcare requires a modern cloud. View this brief video to understand how the Concerto Cloud for Healthcare can help your organization.

 
LVL 32

Expert Comment

by:phoffric
ID: 35219562
>> putting x = 15 and f(x) = 10 the only unknown in your equation is v. solve for v.
I thought I did that:
  >> 10 =  -16 (15)²/(0.434v²) + 1.15(15) + 8
0
 
LVL 27

Expert Comment

by:aburr
ID: 35219904
"I thought I did that"
indeed you did
0
 
LVL 32

Accepted Solution

by:
phoffric earned 2000 total points
ID: 35223583
In case you are interested in the origins of your formula, take a look at this:
    http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html#tra8

Notice that y = y(x) has only two terms. Your formula has three terms. The last term in your formula is +8, which is the height of the ball (i.e., 8 feet above the floor - must be a tall shooter).

That is, f(0) = 8 for your formula. But the formula in the link is showing an intial height of 0 (i.e., f(0) = 0), so that term is left out in the link.
0

Featured Post

Free Tool: IP Lookup

Get more info about an IP address or domain name, such as organization, abuse contacts and geolocation.

One of a set of tools we are providing to everyone as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Have you ever thought of installing a power system that generates solar electricity to power your house? Some may say yes, while others may tell me no. But have you noticed that people around you are now considering installing such systems in their …
We are taking giant steps in technological advances in the field of wireless telephony. At just 10 years since the advent of smartphones, it is crucial to examine the benefits and disadvantages that have been report to us.
Although Jacob Bernoulli (1654-1705) has been credited as the creator of "Binomial Distribution Table", Gottfried Leibniz (1646-1716) did his dissertation on the subject in 1666; Leibniz you may recall is the co-inventor of "Calculus" and beat Isaac…
Finds all prime numbers in a range requested and places them in a public primes() array. I've demostrated a template size of 30 (2 * 3 * 5) but larger templates can be built such 210  (2 * 3 * 5 * 7) or 2310  (2 * 3 * 5 * 7 * 11). The larger templa…
Suggested Courses

765 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question