60 Velocity - Time Graph 50- 40- 30 Increasing Acceleration Steady Speed 20 Deceleration 10- Acceleration 10 20 30 40 50 60 70 80 90 Time/s We can tell an object's acceleration by studying the of a velocity v. time graph. Large slope = large acceleration; small slope = small acceleration Positive slope = positive acceleration; negative slope = negative acceleration If the acceleration and velocity are in the same direction, the object is speeding up. If the acceleration and velocity are in opposite directions, the object is slowing down. %3D At what point is the object not accelerating? What is the acceleration of the object from 0 to 20 s? What is the acceleration of the object from 40 to 50 s? Velocity/m/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.
!["O. LTE A
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down, or changes direction. Has direction.
a = (Vf - Vi)/t
60
Velocity - Time Graph
50
40
30-
Steady Speed
Increasing
20
Deceleration
Acceleration
10
Acceleration
10 20 30 40 50 60 70 80 90
Time/s
We can tell an object's acceleration by studying the
of a velocity v. time graph.
Large slope = large acceleration; small slope = small acceleration
Positive slope = positive acceleration; negative slope = negative acceleration
If the acceleration and velocity are in the same direction, the object is speeding up.
If the acceleration and velocity are in opposite directions, the object is slowing down.
At what point is the object not accelerating?
What is the acceleration of the object from 0 to 20 s?
What is the acceleration of the object from 40 to 50 s?
Is the acceleration constant after 50 s?
When an object is in free fall, the acceleration is always -9.81 m/s?.
An object thrown up will slow down at a rate of -9.81 m/s?, but will speed up at the same rate
coming down. At the very peak of its upward motion, its velocity is zero. The object will return to
its origin at the same velocity it was thrown up with.
The Kinematic Equations
t - 2s
d3D20 m
V - 0
t = 1s
d= 15 m
V = +10 m/s
I = 3s
d = 15 m
V- -10 m/s
d = v,*t +*a*t?
v? + 2*a*d
V; +
d = ..
V = V; +a*t
2
d= 0
V - +20 m/s
- 4s
d =
v = -20 m/s
The kinematic equations can be used to solve for different variables of motion.
Velocity/m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecbc0169-6835-4e10-b656-ff8c4f49267d%2Fcf59b850-94da-417d-b624-dcc73125100c%2Frkg1vg_processed.png&w=3840&q=75)
!["O. LTE A
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First Six Weeks Physics Review
Position = where an object is at any given point of time (can be positive or negative)
Distance = total ground covered during an object's motion
Speed = distance/time; standard unit is m/s
Displacement is the change
in nosition fromA to R.
Displacement = change in position of an object; how far out okplace an object is with direction
Velocity
= displacement/time; standard unit is m/s; has direction
Distance is the
thtatamount
position (m)
80
60
40
20
- 20
-40
10
20
30
40
50
(sec)
We can tell an objects
What is the object's displacement from 10 to 15 seconds?
by studying the slope of a position v. time graph.
What is the object's displacement from 15 s to 40 s?
What is the object's velocity from 15 s to 40 s? Is it positive or negative?
At what point is the object's speed the fastest?
Acceleration is the rate of change of velocity. It occurs when an object speeds up, slows
down, or changes direction. Has direction.
a = (Vf - Vi)/t
60
Velocity - Time Graph
50-
40-
30-
Steady Speed
Increasing
Velocity/m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecbc0169-6835-4e10-b656-ff8c4f49267d%2Fcf59b850-94da-417d-b624-dcc73125100c%2Fis56spd_processed.png&w=3840&q=75)
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