The position of a particle is defined by the equation s = 3t³7t²- 13t+7 ft, where t is in seconds. Determine: [Select] 10 seconds [ Select] = 10 seconds [Select] 5 seconds [Select] 5 seconds [Select] = 5 seconds V V (a) the velocity of the particle at t = (b) the acceleration of the particle at t (c) the total distance traveled after t = v (d) the average speed from t = 0 to t = V (e) the average velocity from t = 0 tot
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.
![The position of a particle is defined by the equations =
3t³ - 7t² - 13t+ 7 ft, where t is in seconds.
Determine:
[Select]
10 seconds
[ Select]
= 10 seconds
[Select]
5 seconds
[ Select]
5 seconds
[Select]
=
= 5 seconds
(a) the velocity of the particle at t =
V
(b) the acceleration of the particle at t
V
(c) the total distance traveled after t =
(d) the average speed from t = 0 to t =
(e) the average velocity from t = 0 tot](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c55d929-92a2-4cd1-9253-f3d872e6a1c5%2F62797b6b-ca57-431b-99ea-c5dd9bd07b35%2F491l5en_processed.jpeg&w=3840&q=75)
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