1D Kinematics
Distance Time (DT) GraphSlope of a DT graph gives speed
D This is a graph of an object not moving.
No slope = No speedT
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) GraphSlope of a VT graph gives Acceleration
V This is a graph of an object moving with constant velocity.
No slope = No accelerationT
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
VThis 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 triangleArea = 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 rectangleArea = [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 negativeDistance 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 positiveVelocity can be either positive or negativeSpeed 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/∆tOr a = Vf – Vi /t
Or
Acceleration
Vf = Vi + at
3
a = g = 9.8m/s2 or 10m/s2
That means an object will increase speed at the rate 10m/s every
secondSince 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 knowb) Zeroc) 10m/sd) -10m/s
When a ball is thrown up, what is the velocity at the tippity
top?
a) Information not given, don’t knowb) Zeroc) 10m/s2
d) -10m/s2
When a ball is thrown up, what is the acceleration at the
tippity top?
Using Vf = Vi + at
And
Av. Velocity=(Vf +Vi )/2
AndV=d/t
We get
4th Equation
Vf2 = Vi
2 + 2ad
4
Using Vf = Vi + at
And
Av. Velocity=(Vf +Vi )/2
AndV=d/t
We also get
5th Equation
d=Vit+(½)at2
5