4. A toy car moves along a straight east-west track. The position of the car is measured relative to a red dot on the track. We consider the positive-x-direction to point east. In this one- dimensional problem, x, v, and a represent the x-components of the car's position, velocity, and en acceleration vectors, respectively. Below is a graph of x-versus-t. x (m) 2.04 1.04 0.00 animooools00.0 1.0 2.0 3.0 4.0 5.0 60 7.0 8.0 9.0 -1.0. -2.0+ 10.0 1.0 t (sec) Some of the questions below ask for "time(s)." The answers may be instants of time such as "4.5 s" or "9.0 s" or "4.5 s and 9.0 s," or the answers may be intervals of time such as "between 3.5 s and 5.5 S." 2.5, beads gnol wod booge (a) At approximately what time(s) is the instantaneous velocity, v, of this car equal to zero? (b) At approximately what time(s) is the car moving toward the east? 7,0-11.0 (c) At approximately what time(s) is the car located to the west of the red dot? 0.5-7.0 (d) Determine the instantaneous velocity, v, of the car at 6.5 s. +²=0.03 (e) Determine (approximately) the instantaneous velocity, v, of the car at 0.5 s.O (f) Determine the average acceleration, a., of the car in the interval between 0.5 s and 6.5 s. (g) Determine the instantaneous acceleration, a, of the car at 6.5 s. (h) In your answer booklet, make an approximate graph of v-versus-t. Even though your graph is approximate, it should still have axes labeled with numbers.
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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