1. Draw a vector to represent each of the following physical quantities. Choose an appropriate coordinate system. a. A displacement of 40 km in the negative y-direction. b. A velocity of 30 m/s at 5° below the negative x-axis. C. An acceleration of 5 m/s² due east. d. A force of 30 N at 15° south of west.

2. If Vx = 14 m and Vy = 27 m then determine the following: What is the magnitude, V, of this vector? b. What is the direction, 0, of this vector? a.

The vector V3 of the figure is equal to: A. V2 - V1 B. V1 /cos θ C. V1 - V2 D. V1  + V2 E. V1 cos θ

1. Answer the following: a. Carlo walks 8 km East, then 5 km South and finally 6 km West. Find his final displacement. b. Carlo and Karlo pull at two ropes attached to a cabinet with forces 80 N and 120 N. What is the resultant force if they pull at right angle to each other? c. Carlo leaves Buting Senior High School, drives 26 km due North, then turns onto a street and continues in a direction 30° NE for 35 km and finally turns onto the highway due East for 40 km. What is his total displacement?

1. Answer the following: a. Carlo walks 8 km East, then 5 km South and finally 6 km West. Find his final displacement. b. Carlo and Karlo pull at two ropes attached to a cabinet with forces 80N and 120 N. What is the resultant force if they pull at right angle to each other? c. Carlo leaves Buting Senior High School, drives 26 km due North, then turns onto a street and continues in a direction 30° NE for 35 km and finally turns onto the highway due East for 40 km. What is his total displacement?

Supply all missing information with the correct numerical values. Do not include the units. Round off all answers to two decimal places. Juanito is pulling a cart with 15.00-N force due 20.00 degrees North of West. Find a vector of equal length perpendicular to the force exerted by Juanito .

A person travels 45 m east and then 65 m in the direction that is 28 degrees from the positive x axis. a. What is the magnitude of this persons displacement? b. What is the angle of this persons displacement in degrees?

The component of a force is 238.16 N to the west. The force must be equal to     a. 275 N, 30 degrees west of south b. 275 N, 60 degrees NW c. 275 N, 30 degrees north of west d. 275 N, 60 degrees SW   Three forces act concurrently on an object with zero resultant. These forces are 10 N, 8 N and 6 N. The resultant of the 6 N and the 8 N  forces has a magnitude of     a.between 0.0 and 10 N b. more than 10 N c.0.0 N d.10 N   Choose the correct response to make the sentence true: A component of a vector is ____________ larger than the magnitude of a vector.     a. sometimes b. always c.never d. oftentimes

A.  Draw each of the following vectors to scale.  Indicate the scale that you have used.  Use graphing paper, pencil, pen, ruler and protractor.          1.  12 km south          2.  1.5 m N 450 W          3.  1 m/s 200 E of N          4.  50 km/h           5.  5 mm

Captain America races 60 m west, then turns north and drives 50 m. He then turns and slowly another 40 m Southwest and then turns 20 m, 15° North of East. What was his total displacement?