A driver at Dewaan Motors is testing a new model car with a speedometer calibrated to read m/s rather than km/h. The following series of speedometer readings was obtained during a test run along a long, straight road: 0 1 3 5 7 9 11 13 15 17 19 Time (s). Speed (m/s) 0 4 7 10 13 17 22 23 26 29 (a) Compute the average acceleration during each 2-s interval. Is the acceleration constant? Is it constant during any part of the test run? (b) Make a (v-t) graph of the data, using scales of 1cm = 1s horizontally and lcm = 2m/s vertically. Draw a smooth curve through the plotted points. By measuring the slope of your curve, find the instantaneous acceleration at t= 6 s, 18 s, and 25 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.
![A driver at Dewaan Motors is testing a new model car with a speedometer calibrated to read m/s
rather than km/h. The following series of speedometer readings was obtained during a test run
along a long, straight road:
Time (s).
0 1 3
5 7
9
11
13 15
17
19
Speed (m/s) l 0 4 7 10 13 17
22 23
26 29
(a) Compute the average acceleration during each 2-s interval. Is the acceleration constant? Is it
constant during any part of the test run?
(b) Make a (v-t) graph of the data, using scales of lcm = 1s horizontally and 1cm = 2m/s
vertically. Draw a smooth curve through the plotted points. By measuring the slope of your
curve, find the instantaneous acceleration at t= 6 s, 18 s, and 25 s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ac6e0e9-3099-42f3-9e97-9844dce627ce%2Fce683612-a070-42f5-a1a2-0f87288db2f1%2Flvex20f_processed.png&w=3840&q=75)
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