4. The position of an object is given by x = 16t – 6t? + 2 a) Find the position and displacement of the object at 2s b) Find the average velocity between Os and 2 s c) Find the instantaneous velocity of the object at any time d) At what time and position the object is at rest on the x axis e) Find the instantaneous acceleration of the object at 2s
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.
Since you have posted question with multiple subparts, so per the guidelines, we are solving first three subparts (a), (b) and (c) for you. To get the answers of the remainig subparts, please post the question again with a new request.
The equation for position of an object is,
(a)
Now, calculate position of the object at t = 2 s.
Similarly, calculate the position of the object at t = 0 s.
We know that displacement = final position - initial position
Therefore,
Calculate the displacement of the object at t = 2 s
Therefore, displacement at t=2 s is 8 m.
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