The position of a partide moving along the x axis is given in centimeters by x= 9.58 + 1.37, wheretis in seconds. Calculate (a) the average velocity during the time interval t= 2.00 s to t= 3.00 s; (b) the instantaneous velocity at t=2.00 s; (c) the instantaneous velocity at t= 3.00 s: (d) the instantaneous velocity at t=2.50 s; and je) the instantaneous velocity when the particle is midway between its positions at t= 2.00 s and t=3.00s
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 partide moving along thexaxis is given in centimeters by x= 9.58 + 1.37, where tis in seconds. Calculate (a) the
average velocity during the time interval t=2.00 s to t= 3.00 s; (b) the instantaneous velocity at t=2.00 s; (c) the instantaneous
velocity at t= 3.00 s; (d) the instantaneous velocity at i=2.50 s; and (e) the instantaneous velocity when the particle is midway
between its positions at t= 2.00 s and t= 3.00 s.
(a) Number
Units
(b) Number
Units
Ic) Number
Units
(d) Number
Units
je) Number
Units](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4a6b91a-6661-47d2-a6a2-ac79fee774bd%2F43b3e6a6-cd07-4fdd-ad32-6c5db1ee3e79%2Fgb7m6a3_processed.jpeg&w=3840&q=75)
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