Problem 3 A rollerblader starts off at initial position (0) below. v(t) [meters/second] 4 3.5 3 2.5 2 1.5 0.5 0 - 0. Their velocity vs. time graph is depicted 0 2 4 6 8 10 12 14 16 18 t [seconds] (a) During which time interval was the rollerblader traveling with constant speed? (b) What was the rollerblader's average acceleration between t = Os and t = 18 s? (c) During which time interval did the rollerblader's acceleration have the largest magni- tude? What was that magnitude?
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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![Problem 3
A rollerblader starts off at initial position x(0) = 0. Their velocity vs. time graph is depicted
below.
v(t) [meters/second]
4
3.5
3
2.5
2
1.5
1
0.5
0
02 4 6 8 10 12 14 16 18
t [seconds]
(a) During which time interval was the rollerblader traveling with constant speed?
(b) What was the rollerblader's average acceleration between t
=
(c) During which time interval did the rollerblader's acceleration have the largest magni-
tude? What was that magnitude?
(d) How much distance was covered between t
-
6s and t = 8 s?
Os and t = 18 s?
= 8s and t
(e) How much distance was covered between t
10 s? (Hint: if you can
determine the acceleration, then one of the kinematic equations will allow you to
answer this.)
=
(f) Did the rollerblader ever reverse direction? If so, when did this occur?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F251254ba-8af9-4aa2-8917-a973afab1561%2Fe59d0027-08fb-430a-b3ec-33a4280d34ab%2Fagxab_processed.jpeg&w=3840&q=75)
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