17. Velocity and Position A particle is moving in a straight line in such a way that its position at timer (in seconds) is s(t) = 1² +31 + 2 feet to the right of a reference point, for t≥ 0. (a) What is the velocity of the object when the time is 6 seconds? (b) Is the object moving toward the reference point when t = 6? Explain your answer. (c) What is the object's velocity when the object is 6 feet from the reference point? 18. Interpreting Rates of Change on a Graph A car is traveling from New York to Boston and is partway between the two cities. Let s(t) be the distance from New York during the next minute. Match each behavior with the corresponding granh of so in Fi 22. Rat: inje ent f'(3 in th 23. Pric whe f(1C 24. Adve wher ment 25. Rate pute Inter estim
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.
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17. Velocity and Position A particle is moving in a straight
line in such a way that its position at time (in seconds) is
s(t) = 1² +31 + 2 feet to the right of a reference point, for
t≥ 0.
(a) What is the velocity of the object when the time is
6 seconds?
(b) Is the object moving toward the reference point when
t = 6? Explain your answer.
(c) What is the object's velocity when the object is 6 feet from
the reference point?
18. Interpreting Rates of Change on a Graph A car is traveling
from New York to Boston and is partway between the two
cities. Let s(t) be the distance from New York during the next
minute. Match each behavior with the corresponding graph
of s(t) in Fig. 7.
(a) The car travels at a positive steady speed.
(b) The car is stopped.
(c) The car is backing up.
(d) The car is accelerating.
(e) The car is decelerating.
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