# A particle undergoes three displacements. The first has a magnitude of 15 m and makes an angle of 40◦ with the positive x axis. The second has a magnitude of 6.2 m and makes an angle of 158◦ with the positive x axis.

A particle undergoes three displacements.

The first has a magnitude of 15 m and makes an angle of 40◦ with the positive x axis. The second has a magnitude of 6.2 m and makes an angle of 158◦ with the positive x axis. After the third displacement the particle returns to its initial position.

/tmp/1095-14851016423057563-1367-26063.dvi

Find the magnitude of the third displacement. Answer in units of m.

/tmp/1095-14851016423057563-1367-26063.dvi

Find the angle of the third displacement (mea- sured from the positive x axis, with counter- clockwise positive within the limits of −180◦ to +180◦).

Answer in units of ◦.

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The post A particle undergoes three displacements. The first has a magnitude of 15 m and makes an angle of 40◦ with the positive x axis. The second has a magnitude of 6.2 m and makes an angle of 158◦ with the positive x axis. appeared first on Superb Professors.