1D Kinematics
Distance Time (DT) Graph
Slope of a DT graph gives speed
D
This is a graph of an object
not
moving.
No
slope = No speed
T
Distance Time (DT) Graph
Slope of a DT graph gives speed
D
This is a graph of an object
moving with constant speed.
Straight line has one slope =
one speed or constant speed
T
Distance Time (DT) Graph
Slope of a DT graph gives speed
D
This is a graph of an object
moving with changing speed.
Increasing
slope = increasing
speed = accelerating
T
Distance Time (DT) Graph
Slope of a DT graph gives speed
D
This is a graph of an object
moving with changing speed.
Decreasing slope = decreasing
speed = Slowing down
T
Velocity Time (VT) Graph
Slope of a VT graph gives Acceleration
V
This is a graph of an object
moving with constant velocity.
No
slope = No acceleration
T
Velocity Time (VT) Graph
Slope of a VT graph gives Acceleration
V
This is a graph of an object
moving with constant
acceleration.
Straight line has one slope =
one or constant acceleration
T
Velocity Time (VT) Graph
Slope of a VT graph gives Acceleration
V
This is a graph of an object
moving with changing slope.
Increasing
slope = increasing
speed=non

uniform acceleration
T
Velocity Time (VT) Graph
Slope of a VT graph gives acceleration
V
This is a graph of an object
moving with Non uniform
acceleration.
Decreasing slope = decreasing
acceleration
T
Velocity Time (VT) Graph
Area under a VT graph gives displacement
V
Here the area under the graph
is a triangle
Area = ½ Base x Height
T
Velocity Time (VT) Graph
Area under a VT graph gives displacement
V
Here the area under the graph
is a triangle and a rectangle
Area = [½ Base x Height] +
[Length x Width]
T
Actual distance covered is called distance
The distance from the origin is called
displacement
Difference between Distance and
Displacement
Distance is always
positive
, but
Displacement can be either
positive or
negative
Distance
is a scalar
Displacement
is a vector
Difference between Distance and
Displacement
Speed is only magnitude
Velocity gives you a magnitude and a direction
Difference between Speed and
Velocity
Speed is always
positive
Velocity can be either
positive or negative
Speed
is a scalar
Velocity
is a vector
Difference between Speed and
Velocity
Speed = Distance/time ( V=∆d/ ∆ t)
Unit of speed in metric system is m/s
Constant Speed or Velocity
1
Slope of a VT graph gives acceleration
a = ∆V/∆t
Or a = V
f
–
V
i
/t
Or
Acceleration
V
f
= V
i
+ at
3
a = g = 9.8m/s
2
or 10m/s
2
That means an object will increase speed at the rate
10m/s every second
Since Gravity acts in the downward direction,
objects speed up when dropped and slow down
when thrown up.
Acceleration due to Gravity
a)
Information not given, don’t know
b)
Zero
c)
10m/s
d)

10m/s
When a ball is thrown up, what is the
velocity at the tippity top?
a)
Information not given, don’t know
b)
Zero
c)
10m/s
2
d)

10m/s
2
When a ball is thrown up, what is the
acceleration at the tippity top?
Using
V
f
= V
i
+ at
And
Av. Velocity=
(V
f
+V
i
)/2
And
V=d/t
We get
4
th
Equation
V
f
2
= V
i
2
+ 2ad
4
Using
V
f
= V
i
+ at
And
Av. Velocity=
(V
f
+V
i
)/2
And
V=d/t
We also get
5
th
Equation
d=V
i
t+(
½
)at
2
5
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