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

  • Thread starter Thread starter polymerase
  • Start date Start date
  • Tags Tags
    Challenge
AI Thread Summary
The discussion focuses on calculating the vertical component of the initial velocity (v_{0y}) for a quarterback throwing a football to a receiver moving away at a constant velocity. The problem requires expressing v_{0y} in terms of the time interval (t_{c}) and the acceleration due to gravity (g). Participants express confusion over the problem's requirements, particularly regarding the expected format for the answer. Additionally, there is a side inquiry about plotting projectile motion graphs in MATLAB, highlighting a need for coding guidance. The conversation emphasizes the importance of understanding projectile motion equations to solve the quarterback's challenge effectively.
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 v_{r} 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 \theta to the horizontal and he estimates that the receiver must catch the ball a time interval t_{c} 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 v_{0y}, the vertical component of the velocity of the ball when the quarterback releases it. express v_{0y} only in terms of t_{c} and "g"
 

Attachments

  • 5210.jpg
    5210.jpg
    7.2 KB · Views: 643
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 v_{0y} = sin\thetav_{0}
 
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?
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top