a. A particle is undergoing a uniform rectilinear motion and the displacement as a function of time is given by r(t) = 6t4- 2t³ -12t²+3t+3 where r is in meters and t is in seconds. e. What is a uniform motion?[10] f. Find the average acceleration of the particle between t = 0 and t = 2s [12] g. When is the acceleration zero? [12]
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.
![2.
a. A particle is undergoing a uniform rectilinear motion and the displacement as a
function of time is given by r(t) = 6t4- 2t³ -12t²+3t+3 where r is in meters and t is in
seconds.
e. What is a uniform motion? [10]
f. Find the average acceleration of the particle between t = 0 and t = 2s_[12]
g. When is the acceleration zero? [12]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbd69af7-2178-4d2d-b691-67bb56c81d68%2F91bf477c-1df3-403c-a721-2b256404817e%2Fntfn9s6_processed.png&w=3840&q=75)
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