Based on Figure 3, 20 * 10 10 20 30 40 1 (s) (a) during what time periods, if any, is the velocity constant? (b) At what time is the velocity greatest? (c) At what time, if any, is the velocity zero? (d) Does the object move in one direction or in both directions during the time shown? 50 (u) x 3.
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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Based on Figure 3,
20
* 10
10
20
30
40
50
t (s)
(a) during what time periods, if any, is the velocity constant?
(b) At what time is the velocity greatest?
(c) At what time, if any, is the velocity zero?
(d) Does the object move in one direction or in both directions during the time shown?
4.
A certain type of automobile can accelerate approximately as shown in the velocity-time graph of
Figure 4. (The short flat spots in the curve represent shifting of the gears.)
50
5th gear
4th gear
40
3rd gear
30
* 20
2nd gear
10
1st gear
t(:
10
20
30
40
i. Estimate the average acceleration of the car in second gear and in fourth gear.
ii. What is its average acceleration through the first four gears?
iii. Estimate how far the car traveled while in fourth gear.
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