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Page 1

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Linear motion
Linear motion is motion in
a straight line.
It can involve zero or
constant positive or
negative values of
acceleration and may
include a reversal in the
direction of travel.

Page 2

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Linear motion
Although linear, the
motion does not have to
be horizontal. It could be
vertical, with the object
moving up and/or down.

Page 3

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Linear motion
In fact, if you think about
it, many equations in
mechanics represents
properties acting in
straight lines:
F = ma,
F and a are colinear
vectors
KE = ½mv2,
This is linear kinetic
energy (as opposed to
rotational kinetic energy)

Page 4

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Linear motion
We're going to look at four
more equations. These
are the equations of
uniformly accelerated
motion; also known as the
s.u.v.a.t. equations
because of the symbols
they use.

Page 5

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Linear motion
Learn how to derive these
equations using the
method shown here AND
practice re-arranging and
applying them.
They are an examiner's
favourite.

Page 6

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Graph connection
An object, already moving
with an initial velocity, u
accelerates, increasing its
velocity to v in a time t.

v



u



t

Page 7

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The symbols
s ­ distance or
displacement, m
u ­ initial velocity, ms-1
v ­ final velocity, ms-1
a ­ acceleration, ms-2
t ­ time taken, s

Page 8

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Graph gradient
Like any graph, the gradient is
(the change in y)/ (the change
in x).
Gradient = (v-u)/t

v



u



t

Page 9

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Gradient = a
But the gradient of a
velocity-time graph is
acceleration.

So gradient = (v-u)/t
becomes
a = (v-u)/t

Page 10

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Rearranging
a = (v-u)/t
becomes
at = v - u
u + at = v
or

v = u +at

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