How far is the football displaced from its original position?

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The discussion revolves around calculating the displacement of a football after a series of movements by a quarterback. The quarterback runs backwards 10 meters, moves sideways 15 meters, and then throws the ball forward 50 meters. The key to solving the problem lies in understanding that displacement is the straight-line distance from the original position to the final position, which can be visualized as a triangle. By applying the Pythagorean theorem to the resulting triangle, the total displacement is determined to be approximately 43 meters. Drawing a diagram and using vector addition are recommended strategies for visualizing and solving the problem.
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Homework Statement


A quarterback takes the ball from the line of scrimmage and runs backwards for 1.0 x 10 ^1 m then sideways parallel to the line of scrimmage for 15 m. The ball is thrown forward 5.0 x 10^1 m perpendicular the line of scrimmage. The receiver is tackled immediately. How far is the football displaced from its original position?


Homework Equations



well I convert change the sci into 10m and 50m


The Attempt at a Solution



I don't know what kind of problem this is? what is it dealing with? yeah I'm looking for the displacement, but I thought displacement was just the difference from where it was at first... but well I have the answer which is 43m, but how in the world do I get to that number?

and I'm so sorry for asking soo many questions, but I'm really lost and I have my mid term tomorrow. I know the rest but all these questions that I've been asking which were like mid through the semester. thanks to all who have been helping.
 
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Drawing a sketch of the problem should help.
 
because the ball goes at an angle from its original position, does it make sense that you could describe its final position as 40 meters forward and 15 meters to the right?
 
I still don't get it... I don't know what equation to use...
 
Follow radou's hint: draw a diagram of the situation. Draw vectors representing each "stage" of the ball's journey. The total displacement will be the resultant vector.
 
Heh, stop looking for an equation, the answer is right infront of you. :-p

Take a piece of paper and as radou said, draw a diagram. Since the height of the ball doesn't matter, it is the exact same as this simplified problem.

A man walks 10m backwards, then moves sideways 15m, then walks 50m forwards, how far is he from the original position? so basically you end up with a triangle with sides of 15m, and 40m, and a hypotenuse x which you need to find.

Of course this can also be done with vector addition..

edit::I would demonstrate the vector addition but I got to go to bed. Here is something that should be at your level http://www.glenbrook.k12.il.us/GBSSCI/PHYS/Class/vectors/u3l1b.html
 
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hehe thanks, I got it!
thank y'all so much.
 

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