# 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?

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?

Last edited:
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)