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