Kinematics
is the study of an object's motion, from figuring out how far a marble
has rolled; to how fast a rocket needs to go to escape Earth's orbit;
to how high an arrow should be aimed to get a bulls-eye.
Most
examples of things moving in real life have so many variables affecting
their motion, such as friction or air resistance. To create a formula
to account for these is quite complex, so in Year 12 Physics it is
omitted. Instead we automatically assume there is no friction, air
resistance, or whatever else we state in our answer to a question.
Before
you look at the main pages, be sure you know about the following elements.
Purple
Tooltips
Throughout
this web site you'll encounter purple tooltips like the one below.
If you move your mouse over them, you'll see some extra information
about the word or words in purpleA
colour which is a mixture of blue and red..
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Significant
Figures
Whenever
we tackle a physics question, we need to ensure that our answer is
accurate.
Quiz
time: If we measure how far a tennis ball has been rolled, which measurement
would have been from using a standard meter ruler?
aRuler
A is able to measure tenths of a millimeter? That sounds a little
farfetched, because otherwise the ruler would be full of little lines
telling you the length of 0·1mm, then 0·2mm, then 0·3mm...)
·1281m
bRuler B is able
to measure in tenths of a centimeter, that sounds a bit reasonable,
because tenths of a centimeter are exactly the same as millimeters
(which you'll find out in the next section).) 1·281m
cRuler C can only
measure in divisions of ten centimeters. This is quite useless for
small measurements, because you can only get measurements of 10cm,
then 20cm, then 30cm.) 128·1m
Believe
it or not, the answer is B; although if you picked A or C you may
need to think about getting a less high-tech meter ruler.
Significant
figures tell us how accurate a measurement is, and saves us writing
loads of decimal points at the same time.
Say we
had a measurement of 26cm. It could be any measurement between 25·5
and 26·5cm, but it has been rounded to stop us from writing
too many digits. It has two significant figures, because it has 2
non-zero digits.
If the
measurement was 30cm, it would have one significant figure. 0.0005km
also has one significant figure.
There
is a slight exception to this rule, however. If our measurement is
0.00307 or 307000km, it has three significant figures. Why? because
the zero is part of the main number that was rounded, i.e. the previous
number could have been 306938, which rounds to 307000.
Whenever
we write an answer we tend to look at all the numbers we put in, and
find the least amount of significant figures in any number, and use
that in our answer. For example, if we put the measurements of 57cm,
28s and 312ms-1 into a formula, we would give the answer
to 2 significant figures.
You will
notice that on our site our answers will have (# s.f.) after them
(the # will be replaced with a number).
However,
the less significant figures there are, the less accurate the number
could be.
This
brings up an important point: if someone told you they threw a ball
1000cm, chances are they didn't throw it exactly 1000cm (if they did,
congratulate them for me). They could have thrown the ball anywhere
between 1500cm and 500cm. But they actually threw the ball 997·6cm,
and they only wanted it to have two significant figures, not one.
It's
an easy solution. Just write this.
1000cm
(2 s.f.)
Which
says the first zero is accurate, but the other two are placeholders.
SI
Units
SI Units
are units used for telling one measurement apart from another. These
are important in physics because we use a lot of different types of
measurements.
Quiz
time (again): A person just went for a walk, and gave you the measurement
17. Does this mean:
a) They
ran for 17 seconds?
b) They ran 17 kilometers?
c) They tripped over 17 times?
d) 17 is their favourite number?
Note:
Depending on the runner the answers could be different. For instance,
if the runner was me, answers A, C and D would probably apply; but
that's not the point of this question.
The
point is the importance of SI Units, they tell us what the measurement
is for.
To use
a SI Unit, simply place it after the number in question.
Below
is a table of the SI Units you will encounter in this website.
| Name |
Symbol |
Measured
in... |
Unit |
| Distance/Displacement |
d |
meters |
m |
| Time |
t |
seconds |
s |
| Speed/Velocity |
v |
meters
per second |
ms-1 |
| Acceleration |
a |
meters
per second squared |
ms-2 |
Some
SI Units (such as distance) usually have metric prefixes in front
of them, to indicate the scale of a measurement. In other words...
Below
we have two identical measurements. Would you rather write:
a) 1000000mDon't
worry, we wont be using measurements as large as these on this website.
(one million meters)
or
b) 1Mm (1 mega meter)?
B is
the sensible answer, in case you were wondering.
Below
is a table of the most common metric prefixes.
Values
in blue are used in other parts of Year 12 Physics.
Values in green are not used extensively in Year 12 Physics.
| Name |
Symbol |
Multiplier |
| giga- |
G |
1000000000 |
billion |
| mega- |
M |
1000000 |
million |
| kilo- |
K |
1000 |
thousand |
| hecto- |
H |
100 |
hundred |
| deca- |
da |
10 |
ten |
| deci- |
d |
0.1 |
tenth |
| centi- |
c |
0.01 |
hundredth |
| milli- |
m |
0.001 |
thousandth |
| micro- |
µ |
0.000001 |
millionth |
| nano- |
n |
0.000000001 |
billionth |
These
metric prefixes prevent us from writing too many zeroes. To use a
prefix, simply place it in front of the SI unit like so:
1000m
= 1km
0.002ms-1 = 2mms-1
Time
measurements do not use the metric prefix system, but general knowledge
should tell you that there are...
60 seconds
in a minute
60 minutes in a hour
3600 seconds in an hour
Mathematical
Prerequisites
Now that's
a fancy word! What we are just quickly going to mention is that to
do some of the examples in kinematics, you will need to know a bit
about algebra and trigonometry. If you don't, you may need to look
some formulae up, but we'll try to explain working as best as we can.
Right,
that's enough writing on this page. It's time to take the...