A car is traveling east. The graph shows the change in the velocity of the car over time, relative to the ground. Acceleration OB. 25 m/ Velocity (m/s) m/s² OC. 30 m/s² D. 150 m/s² 45 40 35 30 25 20 15 10 5 0 During this period, what is the eastward acceleration of the car relative to the ground? O A 5 m/s² 1 2 3 4 5 6 Time (s)
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.
![**Graph Analysis and Problem Solving**
A car is traveling east. The graph shows the change in the velocity of the car over time relative to the ground.
**Graph Description:**
- **Title:** Acceleration
- **Y-axis (Vertical):** Velocity (m/s) ranging from 0 to 45
- **X-axis (Horizontal):** Time (s) ranging from 0 to 6
- The graph is a straight line starting from the origin (0,0) and rising to the point (6s, 30 m/s).
**Question:**
During this period, what is the eastward acceleration of the car relative to the ground?
**Options:**
- A. \(5 \, \text{m/s}^2\)
- B. \(25 \, \text{m/s}^2\)
- C. \(30 \, \text{m/s}^2\)
- D. \(150 \, \text{m/s}^2\)
This exercise involves understanding the relationship between velocity and time to calculate acceleration, which is the slope of the velocity-time graph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a5c7ad3-bb2a-4ed5-8f7d-b36fd5b88e32%2Fbd5537fe-e711-4807-8a70-e49289f32e51%2F3igkfmh_processed.jpeg&w=3840&q=75)
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