Solving for v_{0y}: A QB's Challenge

  • Thread starter Thread starter polymerase
  • Start date Start date
  • Tags Tags
    Challenge
Click For Summary

Homework Help Overview

The discussion revolves around a problem in projectile motion involving a quarterback throwing a football to a receiver moving away from him. The goal is to determine the vertical component of the initial velocity of the ball at the moment it is thrown, expressed in terms of time and gravitational acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the requirements of the problem, including the need to express the vertical velocity component in specific terms. Some express confusion about the problem's expectations and the relationship between the vertical velocity and the angle of projection.

Discussion Status

There is an ongoing exploration of the problem, with participants questioning their understanding of the requirements and the relevant equations of motion. Some guidance has been offered regarding the equations of projectile motion, but no consensus has been reached on the approach to take.

Contextual Notes

Participants are navigating assumptions about the projectile motion equations and the specific parameters given in the problem, such as the angle of projection and the time interval for the catch.

polymerase
Messages
28
Reaction score
0
A quarterback is set up to throw the football to a receiver who is running with a constant velocity [tex]v_{r}[/tex] directly away from the quarterback and is now a distance "D" away from the quarterback. The quarterback figures that the ball must be thrown at an angle [tex]\theta[/tex] to the horizontal and he estimates that the receiver must catch the ball a time interval [tex]t_{c}[/tex] after it is thrown to avoid having opposition players prevent the receiver from making the catch. In the following you may assume that the ball is thrown and caught at the same height above the level playing field. Assume that the y coordinate of the ball at the instant it is thrown or caught is y= 0 and that the horizontal position of the quaterback is x= 0.
Use "g" for the magnitude of the acceleration due to gravity, and use the pictured inertial coordinate system when solving the problem.

Find [tex]v_{0y}[/tex], the vertical component of the velocity of the ball when the quarterback releases it. express [tex]v_{0y}[/tex] only in terms of [tex]t_{c}[/tex] and "g"
 

Attachments

  • 5210.jpg
    5210.jpg
    7.2 KB · Views: 662
Last edited:
Physics news on Phys.org
What have you tried so far? What is causing you trouble?
 
hage567 said:
What have you tried so far? What is causing you trouble?

I just don't understand wut its asking...im so use to something like this saying the answer is [tex]v_{0y}[/tex] = sin[tex]\theta[/tex][tex]v_{0}[/tex]
 
Don't you have some relevant equations for projectile motion? Hint: take a look at the first item in my footer.
 
Last edited:
Hi
How to plot graph of projectile motion between angle and range in Matlab?
I mean that what will be the coding for the graph between angle and range of any projectile?
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 2 ·
Replies
2
Views
7K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 3 ·
Replies
3
Views
5K
Replies
4
Views
6K
  • · Replies 12 ·
Replies
12
Views
3K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 14 ·
Replies
14
Views
3K