1. The graph shown below represent the position function s(t) of an object moving up and down on a coordinate line. t (time in hours) -2 a. Approximate the times when the velocity is equal to zero. b. Sketch a graph for s (t) the velocity fun ction. c. What are the critical values of s(t)? d. Approximate the intervals of time, when the object is moving away from the origin. e. Approximate the intervals of time, when the object is moving toward the origin. f. Approximate s (2) g. Using the graph of the velocity function sketch a graph for s"(t) the acceleration function. h. What are the critical values of s (1) ? i. Approximate the times when the acceleration is equal to zero. j. Approximate the intervals of time ,when the acceleration is positive. k. Approximate the intervals of time ,when the acceleration is negative. 1. What intervals does s(t) concaves up and con cave down? m. What values of t do inflection poin ts occur for s(t) n. Sketch the graph of s"(t) s(t) (displācement in miles)
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.
![1. The graph shown below represent the position function s(t) of an object
moving up and down on a coordinate line.
t (time in hours)
-2
a. Approximate the times when the velocity is equal to zero.
b. Sketch a graph for s (t) the velocity function.
c. What are the critical values of s(t)?
d. Approximate the intervals of time , when the object is moving away from the
origin.
e. Approximate the intervals of time , when the object is moving toward
the origin.
f. Approximate s (2)
g. Using the graph of the velocity function sketch a graph for s'(t) the
acceleration function.
h. What are the critical values of s (1) ?
i. Approximate the times when the acceleration is equal to zero.
j. Approximate the intervals of time ,when the acceleration is positive.
k. Approximate the intervals of time ,when the acceleration is negative.
1. What in tervals does s(t) concaves up and concave down?
m. What values of t doinflection points occur for s(t)
n. Sketch the graph of s"(t)
s(t) (displācement in miles)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc20f58da-671e-4621-bfcb-6636dc107d11%2F20c90466-741e-41a7-bdc5-47ba1c70b47b%2F05o0rtc_processed.jpeg&w=3840&q=75)
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