In a time of 1 seconds, a particle moves a distance of s meters from its starting point, where s = 81³. (a) Find the average velocity between 1, = 0 and t = h for the following values of h. Enter the exact answers. (i) h = 0.1 i (ii) h = 0.01 i (iii) h = 0.001 i m/sec m/sec m/sec
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.
![In a time of t seconds, a particle moves a distance of s meters from its starting point, where s =
81³.
(a) Find the average velocity between 1, = 0 and t = h for the following values of h.
Enter the exact answers.
(i) h = 0.1
i
(ii) h = 0.01
(iii) h = 0.001
m/sec
m/sec
m/sec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6f0fc2b-ed06-42f6-aea2-7d26d8b1334d%2Fdf532623-782a-4150-b815-3e1990556dcf%2Frkqmg5q_processed.jpeg&w=3840&q=75)
![(b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t = 0.
i
m/sec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6f0fc2b-ed06-42f6-aea2-7d26d8b1334d%2Fdf532623-782a-4150-b815-3e1990556dcf%2Frz0isp_processed.jpeg&w=3840&q=75)
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