3) It is a velocity-time graph for an object under constant acceleration. Determine the displacement of the object over the interval 0 s to 3.0 s, 3.0 s to 5.0 s, 5.0 s to 7.0 s. Determine the total displacement. Determine the accelerations of object over the interval 0 s to 3.0 s, 3.0 s to 5.0 s, 5.0 s to 7.0 s. What is the average velocity during the interval 0 s to 4.0 s? Draw the graphs of position-time if its initial position be zero. Draw the graphs of Acceleration-time. v (m/s [E]) 1.2 1.0 0.8 0.6- 0.4 0.2- 0- 0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 +(a)
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.
![3) It is a velocity-time graph for an object under constant acceleration.
Determine the displacement of the object over the interval 0 s to 3.0 s, 3.0 s to 5.0 s, 5.0
s to 7.0 s. Determine the total displacement.
Determine the accelerations of object over the interval 0 s to 3.0 s, 3.0 s to 5.0 s, 5.0 s
to 7.0 s.
What is the average velocity during the interval 0 s to 4.0 s?
Draw the graphs of position-time if its initial position be zero.
Draw the graphs of Acceleration-time.
v (m/s [E])
1.2
1.0
0.8
0.6
0.4
0.2
0+
0
1.0 2.0 3.0
4.0 5.0 6.0 7.0
t(s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52103078-e6c6-4b3a-8a1a-3f16452229d0%2Febb1fd93-690f-4728-b341-5deea403419c%2F8nj7bh_processed.png&w=3840&q=75)
A velocity time graph indicates the velocity of an object at different time intervals
Since velocity is defined as the rate of change of displacement, displacement is given in terms of velocity as
From a velocity time curve, integration will represent the area covered under the respective curve.
And since acceleration is given as the rate of change of velocity, it represents the slope of the velocity time curve over any given interval.
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