How Far Did the Football Travel in Total Displacement?

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In summary, the football's resultant displacement can be calculated using the Pythagorean theorem, with the legs being 50 yards and 15 yards, resulting in a magnitude of approximately 52 yards. However, after reviewing the diagram, it should actually be 40 yards, resulting in a magnitude of approximately 43 yards.
  • #1
soul814
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another vector problem (check if I'm correct)

A quarterback takes the ball from the line of scrimmage, runs backward for 10.0 yards, then runs sideways parallel to the line of scrimmage for 15.0 yards. At this point, he throws a 50 yard forward pass straight downfield, perpendicular to the line of scrimmage. What is the magnitude of the football’s resultant displacement?

Is it about 52? Since I used [tex]a^2 + b^2 = c^2[/tex]

[tex]50^2 + 15^2 = c^2[/tex]
 
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  • #2
the figure i get in my head is something like
A |...
...|...|C
B |___|D

AB = 50
CD = 10
BD = 15
u are supposed to find AC

-- AI
 
  • #3
ahh after looking at your diagram it should be

[tex]40^2 + 15^2 = c^2[/tex]

about 43 then
 
  • #4
yeap!

-- AI
 

FAQ: How Far Did the Football Travel in Total Displacement?

What is a vector?

A vector is a mathematical quantity that has both magnitude and direction. It is commonly represented by an arrow, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction.

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Vector problems have various real-world applications in fields such as physics, engineering, and navigation. For example, they can be used to calculate the forces acting on an object, determine the direction and speed of a moving object, or map out the trajectory of a projectile.

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