A particle is undergoing kinematic motion and the displacement as a function of time is given by r(t) = 42 + 10t2 -2t3 where r is in meters and t is in seconds. A) Find the average velocity of the particle between t = 1 and t = 4s B) At what time is the instantaneous velocity zero. C) Find the average acceleration between t = 1 s and t = 4 s. D) At what time is the instantaneous acceleration zero.
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.
A particle is undergoing
A) Find the average velocity of the particle between t = 1 and t = 4s
B) At what time is the instantaneous velocity zero.
C) Find the average acceleration between t = 1 s and t = 4 s.
D) At what time is the instantaneous acceleration zero.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
