The position of a particle is r(t) = (5.0t²î – 4.0ĵ + 6.0t³k) m. (a) What is the velocity of the particle at 0 s and at 1.0 s (in m/s)? (Express your answers in vector form.) v(0 s) = m/s v(1.0 s) m/s (b) What is the average velocity between 0 s and 1.0 s (in m/s)? (Express your answer in vector form.) Vavg m/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 particle is r(t) = (5.0t2î – 4.0j + 6.0t³k) m.
(a)
What is the velocity of the particle at 0 s and at 1.0 s (in m/s)? (Express your answers in vector form.)
v(0 s)
m/s
v(1.0 s)
m/s
(b) What is the average velocity between 0 s and 1.0 s (in m/s)? (Express your answer in vector form.)
Vavg
m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbc5c5ff-3f02-45f2-bc7a-efd5c3d6b891%2Fbb9f155e-7bb4-4152-ab77-fa8aa6d32ca1%2Fw97yt09_processed.png&w=3840&q=75)
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