How Do Football Patterns Affect Player Displacement and Angles?

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The discussion focuses on calculating the displacement and angle of a football player running a specific pattern, with legs A, B, and C measuring 4, 14, and 22 meters respectively, and an angle of 44° between legs B and C. Participants are asked to determine the magnitude of the player's displacement, the angle Θ, and the x and y components of the displacement. One user points out that the provided link to the diagram requires a password, making it inaccessible for further analysis. Additionally, there is a reminder for the original poster to show their work to facilitate assistance. The thread emphasizes the importance of visual aids and detailed calculations in solving the problem.
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In a practice, a football players runs the pattern shown above. Leg A is 4 meters long, leg B is 14 meters long and leg C is 22 meters long. The angle φ between legs B and C is 44 °. (Legs A and B are perpendicular.) a) What magnitude of the displacement of the football player from her original position?b.)b) What is the value of Θ? c.)C) What is x component of her displacement? (Assume the x direction to be horizontal on that drawing above.)d) What is y component of her displacement? (Assume the y direction to be vertical on that drawing above.)


Picture: https://wug-s.physics.uiuc.edu/cgi/cc/shell/DuPage/Phys1201/fall-evening/tma.pl?Ch-03-04/football_pattern#pr
 
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Hi mai786,

mai786 said:
In a practice, a football players runs the pattern shown above. Leg A is 4 meters long, leg B is 14 meters long and leg C is 22 meters long. The angle φ between legs B and C is 44 °. (Legs A and B are perpendicular.) a) What magnitude of the displacement of the football player from her original position?b.)b) What is the value of Θ? c.)C) What is x component of her displacement? (Assume the x direction to be horizontal on that drawing above.)d) What is y component of her displacement? (Assume the y direction to be vertical on that drawing above.)


Picture: https://wug-s.physics.uiuc.edu/cgi/cc/shell/DuPage/Phys1201/fall-evening/tma.pl?Ch-03-04/football_pattern#pr

Your link appears to require a password. Can you supply a picture somehow else?

Also, remember that you have to show your work on the problem before we can know how to help you.
 
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Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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