The position of a particle moving along a straight line is defined by the equation s = At¹+Bt+Ct²+Dt+E. Create a worksheet that can determine the following: A. Plot the s-t graph, v-t graph, and a-t graph B. Velocity at time to and t₂. C. Acceleration at time to and t₂. D. Position (s) of the particle at time t, and t₂ E. Distance and displacement of the particle from t to t₂
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.
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PROBLEM NO. 1
The position of a particle moving along a straight line is
defined by the equation s = At+Bt³+Ct²+Dt+E. Create
a worksheet that can determine the following:
A. Plot the s-t graph, v-t graph, and a-t graph
B. Velocity at time to and t₂.
C. Acceleration at time ti and t₂.
D. Position (s) of the particle at time to and t₂
Distance and displacement of the particle from t
to tz
E.
Note:
Values of A, B, C, D, and E are 1, 6, 2, 5, 7.
t₁ and t₂ should be variable inputs in your worksheet,
assume it initially as any number between 0-100](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F000f2982-3c3c-4d1b-a74e-b4b6d47726ea%2F536120fb-544f-47d0-b1c4-9d9bd079695a%2Fani0iuh_processed.jpeg&w=3840&q=75)
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