# What is the magnitude of the runner's total displacement?

#### thschica

A football player runs directly down the field for 35 m before turning to the right at an angle of 25 degrees from his original direction and running an additional 15 m before getting tackled. What is the magnitude of the runner's total displacement?

I got 38.08 but it is not right can someone tell me how to do it?

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#### whozum

One vector pointing straight north has magnitude 35m, then another vector pointing 25 degrees to the right of north (65 north of east) has magnitude 15m, find the vector sum.

#### thschica

Is the vector sum 50 meters?How do you get it?

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#### mrjeffy321

Perhaps drawing the situation might help.

Then find the over all change in position that occured as if he ran in a straight line the entire distance.

#### whozum

You might want to break down components, your vectors looks like this

$$\vec{x_1} = <35,0>$$

$$\vec{x_2} = <15\cos(25), 15\sin(25)>$$

#### thschica

Thank you I just got the answer right (49)

#### HallsofIvy

That can't be the correct answer, as you phrased the problem. "Displacement" is a vector, not a number so no number could be the correct answer. 49 m (not just "49") might well be the magnitude of the displacement.

"What is the magnitude of the runner's total displacement?"

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