e position of a particle as a function of time is given by r = [(5.0m/s)t + (6.0 m) - (3.0 m/s³)t³] ĵ, where r is in meters and t is in seconds, {a) What is the acement between t, =2.0 s and t2 = 3.0 s? (b) Determine the particle's ins ity and acceleration as a function of time (c) Evaluate v and a att=30s
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. The position of a particle as a function of time is given by r = [(5.0m/s)t + (6.0m/s²)t²jî +
[(7.0m) - (3.0 m/s)t°] ĵ, where r is in meters and tis in seconds, {a) What is the particle's
displacement between t, =2.0 s and t2 = 3.0 s? (b) Determine the particle's instantaneous
velocity and acceleration as a function of time, (c) Evaluate v and a at t= 3.0 s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17db02c1-189b-4469-9f0c-dc3fb9ca54dc%2Fc88bfbc9-1206-4970-9275-b1c0a9f30731%2Fysx55hr_processed.jpeg&w=3840&q=75)
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