A hiker travels 1 mile South, 3 miles East, 2 miles South, 4 miles West, and 6 miles North. What is the direction of the hiker's displacement? A.) Southeast B.) Northeast C.) Northwest

A long distance commercial passenger plane flies North at 910 km/h. At the same time, there is wind of 30 km/h from the West. Use a scaled diagram, Pythagorean Theorem and trigonometry to answer the following . a) What is the magnitude of the resultant velocity?  b) What is the direction of the resultant ( North, South, East, West, NE, NW, SE or SW).  c). What is the angle of the resultant relative to due East? Round your answer to the nearest tenth.

Problem-Solving Technique: Draw a labeled picture. Put a coordinate system on the picture indicating the location of the origin and the positive direction. Show the solution in a step-by-step orderly fashion. Write any equation you use in symbolic form before substituting in numbers. 1. Ann is traveling at 30 m/s (80 mi/hr) west when she passes a police car. She immediately begins slowing down at a rate of 2.5 m/s for 4 seconds. How far has she traveled for this time? a. Fill in the information that is given in the problem. Put a question mark for any quantity that is not given in the problem. Vox = v. = b. Determine the distance she traveled in this time. Start with the equation in sy numbers you used including units. olic form and show the

The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is defined so that C- A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 significant figures. %3D

Jill's dog Sparky runs 20.0 m northeast to a tree, then 10.0 m west to a second tree, and finally 10.0 south to a third tree. Draw a picture and establish a coordinate system. Calculate the y component (in m) of Sparky's net displacement.  x component (in m) of Sparky's net displacement = 4.14 m

Determine the horizontal component of a 10.20-N force, applied 17 degrees below the horizontal The act of combining several vectors yields a new vector (capable of replacing the original ones with the same effect) called a : A. Sum B. Equilibrant C. Resultant D. Total What is not useful in characterizing a vector? A. Unit B. Angle C. Direction D. Magnitude

9. For the vector à in the attached figure, what is the value for the component Ã, A

An airplane pilot wishes to fly due west. A wind of 72.0 km/h is blowing toward the south. I. If the airspeed of the plane (its speed in still air) is 345.0 km/h, in which direction should the pilot head? (Express your answer in degrees.) II. What is the speed of the plane over the ground? (Express your answer in kilometers per hour.)

An object is seen moving through following positions. = (0, 1) m 1 = (2, 0) m 2 = (5, – 3) m - a) Draw a picture b) Find the displacement vector for each step: Ao1 and Ař12 c) Find the total displacement: A02. (A: 5£ – 4ŷ) - d) Find the distance between the starting and ending points. (A: V41 m) e) Find the total distance travelled by the object. (A: 6.48 m)

1. You travel in a direction exactly northeast and walk a total of 3 km. How much farther east are you compared to where you began? How much farther north are you?