A motorist drives south at 24.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.60 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 6.60 min trip, find the following values. Let the positive x axis point east. (a) total vector displacement  m (magnitude)  ° south of west (b) average speed  m/s (c) average velocity  m/s (magnitude)  ° south of west

An ocean liner leaves New York City and travels 16.2°north of east for 117 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the directions (a) due east and (b) due north? S (a) Number i Units (b) Number i Units

Vector X has magnitude 9.0 m and is directed east. Vector Y has magnitude 8.0 m and is directed north. What is the resultant displacement of the vectors?

Suppose a person walks so that their displacement is represented by a vector that has a magnitude of 52m (vector A). The direction of that initial displacement is 31 degrees north of east. After that, the person then walks 15 m due west (vector B).  Use trig to calculate the east and north components of the first displacement, vector A.

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 girl delivering newspapers covers her route by traveling 3.75 blocks west, 5.00 blocks north, and then 7.25 blocks east. (a) What is her resultant displacement? magnitude   ?   blocks direction    ?  ° north of east (b) What is the total distance she travels?? blocks

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 vector 'A' has components Ax = −6.00 m and Ay = 6.50 m. Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.

Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 113 m at an angle 30.0° north of east, and finally moves 179 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.) Cave entrance W m N E o south of east 8 What is the resultant displacement from the entrance? magnitude direction Final position Q

the professor asks to find the vector D=A+B-C, where vector A has a magnitude of 8.29 units and points east, vector B has a magnitude of 4.96 units and points north, and vector C has a magnitude of 3.28 units and points southwest.  What is the magnitude of vector D?