Refer to figure 1. Another cart has two vectors that help describe its overall motion. What is the overall direction and magnitude of the cart's motion (i.e. find the resultant vector in x, y notation). Then convert your answer into magnitude - angle format. 260.0° 200.0 m/s 100.0 m/s 60.0° Figure 1: Cart #2
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![### Vector Analysis of Cart Motion
**Problem Statement:**
1. Refer to figure 1. Another cart has two vectors that help describe its overall motion. What is the overall direction and magnitude of the cart's motion (i.e., find the resultant vector in \( \hat{x}, \hat{y} \) notation). Then convert your answer into magnitude-angle format.
**Figure Explanation:**
- **Vector 1**:
- Magnitude: 100.0 m/s
- Angle: 60.0° from the positive x-axis
- This vector points upward to the right.
- **Vector 2**:
- Magnitude: 200.0 m/s
- Angle: 260.0° from the positive x-axis
- This vector points downward to the left.
These vectors represent the motion components of Cart #2. The figure illustrates both vectors starting from a common point, indicating that they are to be added vectorially to find the resultant vector of the cart's motion.
To find the overall direction and magnitude:
1. Resolve each vector into its x and y components.
2. Sum the corresponding components to obtain the resultant vector.
3. Convert the resultant from component form \( \hat{x}, \hat{y} \) to magnitude-angle form.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad6d3305-3f03-4e1d-b5fa-fcc90cc2dc7c%2F5ee60833-fe04-4bd3-858f-2a78af9cf6b3%2Fde7hyb_processed.jpeg&w=3840&q=75)
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