Suppose that the position of a particle is given by s(t) - 5t + 3t + 9. (a) Find the velocity at time t. v(t) = %3D (b) Find the velocity at time t 3 seconds. (c) Find the acceleration at time t. m a(t) = s2 (d) Find the acceleration at time t = 3 seconds. s2
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.
![Suppose that the position of a particle is given by s(t) -
5t + 3t + 9.
(a) Find the velocity at time t.
v(t) =
%3D
(b) Find the velocity at time t
3 seconds.
m
(c) Find the acceleration at time t.
m
a(t) =
s2
(d) Find the acceleration at time t =
3 seconds.
s2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb83a8f2-26ef-4560-bef2-c768832c3997%2Fe6aeda92-5275-49be-9dea-a8bf2e8f7aa9%2Fpkh5z7_processed.jpeg&w=3840&q=75)
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