The position of a body as a function of time is given by: a(t) = At³ - Bt, where A=4, B-8 and v(0) =v₁=2 m/s y x(0)=x-0 m. This acceleration has units of m/s². Determine: a. The units of A and B. b. The instantaneous speed at time t, and the instantaneous speed at t = 1 s.
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.
![The position of a body as a function of time is given by:
a(t) = At³ - Bt, where A=4, B-8 and v(0) =v₁=2 m/s y x(0)=x-0 m. This acceleration has units of
m/s².
Determine:
a. The units of A and B.
b. The instantaneous speed at time t, and the instantaneous speed at t = 1 s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9991696-e936-4c38-99d9-4f27330941b4%2F94d6d1e0-7f94-4427-8d11-8562a0c8cfec%2Fc6taojg_processed.png&w=3840&q=75)
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