An object moves along the x axis according to the equation x = 3.55t – 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed betweent = 1.80 s and t = 2.90 s. m/s (b) Determine the instantaneous speed at t = 1.80 s. m/s Determine the instantaneous speed at t = 2.90 s. m/s (c) Determine the average acceleration between t = 1.80 s and t = 2.90 s. m/s? (d) Determine the instantaneous acceleration at t = 1.80 s. m/s? Determine the instantaneous acceleration at t = 2.90 s. m/s? (e) At what time is the object at rest?
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 = 3.55t2 - 2.00t + 3.00, where x is in meters andt is in seconds.
(a) Determine the average speed betweent = 1.80 s and t = 2.90 s.
m/s
(b) Determine the instantaneous speed at t = 1.80 s.
m/s
Determine the instantaneous speed at t = 2.90 s.
m/s
(c) Determine the average acceleration between t = 1.80 s and t = 2.90 s.
m/s2
(d) Determine the instantaneous acceleration at t = 1.80 s.
m/s2
Determine the instantaneous acceleration at t = 2.90 s.
m/s?
(e) At what time is the object at rest?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6184893-1e67-4ed8-9784-fdd0cf2ed60a%2Fffa54afe-11f7-4a62-9918-d22c477ce786%2Ftlk1s1_processed.jpeg&w=3840&q=75)
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