Given the graph of acceleration vs time (picture), draw a graph of position vs time and velocity vs time. The initial conditions for the motion are z(t=0) = 2.00m and vz(t=0) = -1.50 m/s. Both graphs should be numerically correct, and show how the values were obtained.
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.
Given the graph of acceleration vs time (picture), draw a graph of position vs time and velocity vs time. The initial conditions for the motion are z(t=0) = 2.00m and vz(t=0) = -1.50 m/s. Both graphs should be numerically correct, and show how the values were obtained.
Given information:
The initial position of the object z = 0
The initial velocity of the object vz = -1.50 m/s
Now, consider given graph we can see that the acceleration is decreasing from 0-1. s and remains constant from 1-3 sec. Let us calculate the slope of the acceleration from 0-1 sec as shown:
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