An object moves along the x axis according to the equation x = 3.80t2 - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 3.30 s and t = 5.30 s. m/s (b) Determine the instantaneous speed at t = 3.30 s. m/s Determine the instantaneous speed at t = 5.30 s. m/s
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.
![An object moves along the x axis according to the equation x = 3.80t2 - 2.00t + 3.00, where x is in meters and t is in seconds.
(a) Determine the average speed between t = 3.30 s and t = 5.30 s.
m/s
(b) Determine the instantaneous speed at t = 3.30 s.
m/s
Determine the instantaneous speed at t = 5.30 s.
m/s
(c) Determine the average acceleration between t = 3.30 s and t = 5.30 s.
m/s²
(d) Determine the instantaneous acceleration at t = 3.30 s.
|m/s²
Determine the instantaneous acceleration at t = 5.30 s.
|m/s2
(e) At what time is the object at rest?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff82676c5-2454-480e-a2f2-64b4ed4c2c54%2Ff19897c5-15a4-47a0-bcee-28c44a6472c0%2Ftcegojh_processed.png&w=3840&q=75)
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