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.

How to answer this?

When velocity is represented as a vector the Select one: a.direction is not important. b.length of the arrow represents the speed. c.length of the vector is not important. d.motion is not necessary.

A stone is thrown outward, at an angle of 30° with the horizontal into the river from a cliff, that is 75 meters above the water level at a velocity of 54 km/hr. How long it will take the stone to hit the surface of the river? a. 0.06159 minb. 0.059157minc. 0.01596 mind. 0.07915 min

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 .

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?

Lili walks 100 m to the east, and then 300 m to the south. Match the answers with questions. (Hint: Draw the vector diagram.) v Lili's distance A. 316 m, 18° South of East Lili's displacement B. -300 m v Lili's displacement due east C. 400 m Lili's displacement due north D. 400 m, 18° South of East E. -100 m F. 300 m G. 400 m, 72° South of East H. 100 m I. 316 m, 72° South of East

1. Determine the equivalent directions for the given vectors. a. 35° N of E     b. 20° W of S        c. S 40° E       d. N 65° W

A car is driving along a circular track of diameter d = 0.75 km at a constant speed of v = 22 m/s.a. Write an expression for the magnitude of acceleration a of the car in terms of the given parameter. b. What is the magnitude, in meters per second squared, of the acceleration a of the car. c. Write an expression for the minimum coefficient of the friction μ between the car's tires and the road that is required in order to keep the car going in a circle in terms of the given parameters.

4. 1 2. Three ants, A, B, and C, travel along the paths shown in the Figure. All uhe ants start at 1 and finish at 2. A. Arrange the distance travelled by A, B, and C from highest to lowest. B. Arrange the magnitude of the displacement of A, B, and C from highest to lowest. 65 A 1. A truck moves 20.0 km north, then 30.0 km in the direction 30° east of ng then 40.0 km west. Determine the following: A. Total distance traveled by the truck B. Displacement vector of the truck