Let's look at Figure 3, which is another position vs time graph. Figure 3 10 - 8- B A 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 Time (s) We have labelled 3 points. They occur at zero, one, and two seconds. The slopes have been indicated by a red line. What can we learn from this? If we look at slope A, we can tell that the velocity is zero at this point because the slope line is horizontal. A horizontal slope is zero because the change in the vertical direction is <-Position (m)
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.
 alt="Let's look at Figure 3, which is another position vs time graph.
Figure 3
10
C
8
4
2
0.00
0.25
0.50
0.75
1.00
1.25
1.50
1.75
2.00
Time (s)
We have labelled 3 points. They occur at zero, one, and two seconds. The slopes have been indicated by a red
line. What can we learn from this? If we look at slope A, we can tell that the velocity is zero at this point
because the slope line is horizontal. A horizontal slope is zero because the change in the vertical direction is
zero.
Slope B is a positive slope since it points upward. Another way to say it is that it is rotated counter-clockwise
from the horizontal. Slope C is the largest of the three slopes. Therefore, we can say that the velocity of the
object increases from zero to some positive value. We know that the velocity is changing in the positive
direction. This means that the acceleration of the object must be positive.
Homework:
Consider the position vs time graph in Figure 3.
a) Sketch (estimate) an appropriate corresponding velocity vs time graph
b) Sketch an appropriate corresponding acceleration vs time graph
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