A plot of velocity versus time for a car for the first 15 seconds of motion is shown in the diagram below. v, m/s 60 The distance traveled during these 15 seconds is: O 1.5 km O 650 m O 450 m O 275 m O 85 m 40 10 I 5 10 15 t, 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.
![### Problem Statement
A plot of velocity versus time for a car for the first 15 seconds of motion is shown in the diagram below.
### Diagram Description
The diagram is a velocity-time graph with velocity (\(v\), in meters per second) on the vertical axis and time (\(t\), in seconds) on the horizontal axis. The graph shows the following:
- At \(t = 0\) seconds, the velocity is 60 m/s.
- From \(t = 0\) to \(t = 5\) seconds, the velocity decreases linearly from 60 m/s to 20 m/s.
- From \(t = 5\) to \(t = 15\) seconds, the velocity remains constant at 20 m/s.
### Question
The distance traveled during these 15 seconds is:
- ○ 1.5 km
- ○ 650 m
- ○ 450 m
- ○ 275 m
- ○ 85 m
### Explanation
To find the total distance traveled, you need to calculate the area under the velocity-time graph within the specified time frame. This involves finding the area of a trapezoid from \(t = 0\) to \(t = 5\) seconds and a rectangle from \(t = 5\) to \(t = 15\) seconds.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86c8257a-dc3e-47de-95a9-16e2950b2196%2Fa832fbb1-3bd3-4a2e-981f-691db2a6c966%2Fmf5y91_processed.jpeg&w=3840&q=75)
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