Figure 1 Coordinate system

Components of Vectors Find the x- and y-component of the vectors in Figure 2.32.

A fish dives at an angle of 60° with the horizontal and follows a straight line for a distance of 120 m. How far is the fish below the surface of water(103.9 m)?

A strong child pulls a sled by exerting a force of 250 N at an angle of 50° above the horizontal. Find the vertical and horizontal components of this pull?

A 50-N force is directed at an angle of 50° above the horizontal. Resolve this force into vertical and horizontal components.

There is a 25-lb block resting on an inclined plane. The plane makes an angle of 25° with the horizontal. What force must a person exert parallel to the slope? What is the force perpendicular to the surface of the inclined plane that presses the block against the plane?

Find the x- and y-components of each vector.

8. 
   An airplane is traveling northeast at 360 km/hr. What is (a) the northward component of its velocity, and (b) the eastward component of its velocity?
   
9. 
   

   Figure 2.33

   A car that weighs 6000 N is parked on a hill that makes an angle of 25° with the horizontal. Find the component of the car's weight parallel to the hill and perpendicular to the hill.
   
10. 
    A worker pushes a lawn mower with a force of 90 N. The handle of the mower makes an angle of 40° with the ground. What are the vertical and horizontal components of this force and what are their physical significances?
    
11. 
    When a ladder leans against a frictionless wall, the wall exerts a horizontal force F on the ladder, as shown in the diagram 2.33. If this force F is equal to 50 N and θ is equal to 50°, find the component of the force perpendicular to the ladder and the component parallel to the ladder.
    
12. 
    In a cross-country race, a runner moves toward east 10 km, and runs 20 km at an angle of 60° north of east. What is his displace­ment?(26.45 km)
    
13. 
    An airplane moves east for 500 km, turns northward for 200 km, and finally moves toward west for 100 km. What is the final displacement from the starting point(447.2 km)?
    
14. 
    Angles Find the angle for a vector that has the following components: (b) (c) (d)
    
15. 
    x-component of a vector A is . The vector A makes an angle of 30⁰ with horizontal. Find the y-component.
    
16. 
    If and y-component of a vector A is , What is the magnitude of x-component?
    
17. 
    If we are given angles: 20⁰, 30⁰, 65⁰, 74⁰ and x-component of vector A is . Find the y-component for each angle.
    
18.