A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude of 156 cm and makes an angle of 116° with the positive x axis. The resultant displacement has a magnitude of 151 cm and is directed at an angle of 30.0° to the positive x axis. Find the magnitude and direction of the second displacement.

A jogger travels a route that has two parts. The first is a displacement A of 2.30 km due south, and the second involves a displacement B that points due east. The resultant displacement A + B has a magnitude of 4.75 km. (a) What is the magnitude of B, and (b) what is the direction of A + B as a positive angle relative to due south? Suppose that A - B had a magnitude of 4.75 km. (c) What then would be the magnitude of B, and (d) what is the direction of A - B relative to due south? (a) Number (b) Number (c) Number (d) Number Mi i Mi Units Units Units Units <

A person travels 5.51 km east, then 9.54 km in a direction 21.21 degrees west of north, then 8.72 km west. Find the magnitude of total displacement (in km) and the direction of the displacement (degrees west of north).

A woman walks 171 m in the direction 32° east of north, then 161 m directly east. Find (a) the magnitude and (b) the angle (from due east) of her final displacement from the starting point. (c) Find the distance she walks.