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Kinematic Equations NIS grade 11 physics review
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Motion is described by the equation d = vt

The slope (gradient) of the DT graph = Velocity

The steeper the line of a DT graph, the greater the velocity of the body

1

d(m)

2

3

v1 > v2 > v3

t(s)

Slide 10

Accelerated Motion

Accelerated Motion

Slide 11

Velocity-time Graphs

Velocity-time Graphs

Uniform accelerated motion is a motion with the constant acceleration (a const)

Slope (gradient) of the velocity time graph

v(t) = acceleration

The steeper the line of the graph v(t) the greater the acceleration of the body

v(m/s)

1

2

3

t(s)

a1 > a2 > a3

Slide 12

Graphing Negative Displacement

Graphing Negative Displacement

A Starts at home (origin) and goes forward slowly

B Not moving (position remains constant as time progresses)

C Turns around and goes in the other direction quickly, passing up home

1 D Motion

Slide 13

Tangent Lines show velocity

Tangent Lines show velocity

t

d

On a position vs. time graph:

Slide 14

Increasing & Decreasing Displacement

Increasing & Decreasing Displacement

Increasing

Decreasing

On a position vs. time graph:

Increasing means moving forward (positive direction).

Decreasing means moving backwards (negative direction).

Slide 15

Concavity shows acceleration

Concavity shows acceleration

On a position vs. time graph:

Concave up means positive acceleration.

Concave down means negative acceleration.

Slide 16

Special Points

Special Points

P

Q

R

S

Slide 17

Curve Summary

Curve Summary

A

B

C

D

Slide 18

All 3 Graphs

All 3 Graphs

v

t

a

t

Slide 19

Graphing Tips

Graphing Tips

Line up the graphs vertically.

Draw vertical dashed lines at special points except intercepts.

Map the slopes of the position graph onto the velocity graph.

A red peak or valley means a blue time intercept.

Slide 20

Graphing Tips

Graphing Tips

The same rules apply in making an acceleration graph from a velocity graph. Just graph the slopes! Note: a positive constant slope in blue means a positive constant green segment. The steeper the blue slope, the farther the green segment is from the time axis.

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