Find the magnitude of the trucks horizontal component of displacement

In summary, two problems are discussed: one involving a car traveling a certain distance in the x-direction and then turning and traveling a further distance, and the other involving a truck traveling uphill at a constant angle. The first problem asks for the x-component of the car's net displacement, while the second problem asks for the magnitude of the truck's horizontal and vertical components of displacement. Trigonometry is used to solve both problems.
  • #1
kimikims
36
0
Can anyone help me with these 2 problems.. I have been stuck on them :grumpy:

Thanks!

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A car travels 1.14km in the x- direction, then turns left 74.1 degrees to the original direction and travels an additional distance of 3.18km. Calculate the x component of the car's net displacement. Answer in units of km.

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A truck travels 1270m uphill along a road that makes a constant angle of 4.45 degrees with the horizontal.

1) Find the magnitude of the trucks horizontal component of displacement. Answer in units of m.

2) Find the magnitude of the trucks veritical component of displacement. Answer in units of m.
 
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  • #2
Draw a picture of the situation and add the given data (angles and distances).
Then use trigonometry. (You know, with triangles and stuff).
 
  • #3

1. What is the horizontal component of displacement?

The horizontal component of displacement is the distance that the truck has traveled in the horizontal direction. It is the displacement along the horizontal axis, which is typically represented by the x-axis on a graph.

2. How is the horizontal component of displacement calculated?

The horizontal component of displacement can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse (total displacement) is equal to the sum of the squares of the other two sides (vertical and horizontal displacement). In this case, the horizontal component would be the length of one of the sides, while the vertical component would be the length of the other side.

3. What units are used to measure the horizontal component of displacement?

The horizontal component of displacement can be measured in any unit of length, such as meters, feet, or kilometers. The specific unit used will depend on the particular situation and the preferences of the scientist or researcher.

4. Why is it important to know the magnitude of the horizontal component of displacement?

Knowing the magnitude of the horizontal component of displacement can provide important information about the motion of the truck. It can help determine the total distance traveled, as well as the direction and speed of the truck. This information can be used to analyze and predict the truck's future movements.

5. How does the horizontal component of displacement relate to the overall displacement of the truck?

The horizontal component of displacement is just one part of the overall displacement of the truck. The total displacement of the truck is the combination of the horizontal and vertical components, and it represents the shortest distance between the initial and final positions of the truck, regardless of the direction of movement.

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