Summary Graphs of motion

GRAPHS OF MOTION

position / time velocity / time acceleration / time


✗ It ✓ It a /t


Inclined Horizontal




,É É
Horizontal
✗ straight
f
straight line




%
on zero
" " line a


:* .


. .
t t
t

9=0
gradient velocity gradient acceleration
-_ ◦ __ •
◦

= 0

•
NB= state ref frame ! !
.
◦ area -_
displacement
( incl signs) .




will have
=
◦
LD4E graph distance
the same shape ,
but Lexa .

signs)
star t at
[ 0;o)

x




:É
o '
/ 2 parabola V Inclined
a
Horizontal




÷
::::÷
straight straight
t line o line
o t t




\r
"




¥
v -




slower




. •

gradient __
acceleration •
area =
change in
velocity
=
v -
a
=
instantaneous velocity ◦
area = Ox ( incl .
signs)
(at time where tangent
touches
graph ) distance (excl signs)
=




ref ref frame direction __ position
f) frame direction gradient Lifebelt :
.
-_
.

at star t
at star t
faster same direction
µ
→ a
=

✓ =
gradient
a =
gradient asmotion



§
=
✗ z -3C ,
= slower >
opposite
tz a
-
=
-
t ,
=
direction to
. . . .




= .. . . .

☐a = a re a motion

. = Ibt ' / zbh + . . . . ( eg)




SKETCH GRAPHS
steps :




WRITE DOWN FRAME ! ! ! * /E draw basic diagram
•
REF . × -
>

with number line
↳ either use - > same as given graph
→ what examiner requires
* If given letters / include ! !
→
your ow n times →

Cx -
a x i s)
↳ for position / time -

INCLUDE ORIGIN OF REF FRAME ( ref.pt )

◦
Determine BASIC SHAPE

↳
determined constant ?
by - > v or a


→
type of graph?


Determine placement
◦
look at value at star t
g-
-




↳ ✗ It where object is (number line W / ref frame)
-
.




↳ v1 t -
how fast object is moving ( direction = sign = +
/ -
)
↳ alt of
-
acceleration -




'
gradient ✓ It graph
lifebelt




Other
graphs ( not often asked , harder ) :

DX It same shape It
'

as
-
✗

-
star ts at co ;o ]




•
distance It -

similar shape to 3C It
-

gradient cannot be negative

•

speed It -
similar shape to V It
-
only positive y-axis