Net Displacement: Find Mag w/ Graphical Method

In summary, the jogger runs a total of 12 blocks east and 5 blocks south, resulting in a net displacement of 13 blocks using the Pythagorean theorem.
  • #1
JMWM
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Homework Statement



A jogger runs 10.0 blocks due east, 5.0 blocks due south, and another 2.0 blocks due east. Assume all blocks are of equal size. Use the graphical method to find the magnitude of the jogger's net displacement?


Homework Equations



well a sketch, but I've tried it and I don't really get it.


The Attempt at a Solution



so I kind of think what I'm doing but not really... ok the jogger started at 10 E. and then he went 5 N. and then went to 2 E, do you subtract the 10 and the 2, both that are east? and then add the 5... ugh, I don't know how to work this out. I know that its how much it went from where he started from, but not really sure how to find the answer. The answer is 13 blocks, but how do I get to that? Thanks.
 
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  • #2
how far does he go east in total and how far south?
 
  • #3
12 east and 5 south
 
  • #4
okay, if you draw that, and then draw a straight line from the start to finish, do you see any way to figure out how long the line is?
 
  • #5
oh my gosh, got it! thanks! pythagorean theorem, right?
 
  • #6
yeah, good job!
 
  • #7
thanks. =)
 

FAQ: Net Displacement: Find Mag w/ Graphical Method

What is net displacement and why is it important?

Net displacement is the overall change in an object's position, taking into account both the distance and direction of its motion. It is important because it gives a more accurate understanding of an object's movement, as opposed to just looking at the distance or speed traveled.

How do you calculate net displacement using the graphical method?

The graphical method involves plotting the object's displacement on a graph, with the x-axis representing time and the y-axis representing distance. The net displacement can then be calculated by finding the length and direction of the straight line connecting the object's starting point to its final position on the graph.

Can net displacement be negative?

Yes, net displacement can be negative if the object moves in the opposite direction of its starting point. This means that the object has moved backwards or in the opposite direction of its initial position.

How does net displacement differ from total distance traveled?

Net displacement takes into account the direction of an object's motion, while total distance traveled only considers the distance traveled regardless of direction. This means that an object can have a large total distance traveled but a small net displacement if it moves back and forth in opposite directions.

What are some real-life applications of net displacement?

Net displacement is used in various fields such as navigation, sports, and physics. In navigation, it is used to determine the most efficient route between two points. In sports, it is used to analyze an athlete's performance and track their movements. In physics, it is used to understand the motion of objects and calculate their final position and velocity.

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