[ixnayonthehombre]

It appears some people are geting prepared to take M1, so i thought i'd write you a few notes to help. They probably aren't that useful though

SUVAT equations are only used when acceleration is constant
v = u + at
s = (u + v) x t
2
s = ut + 1/2at^2
s = vt - 1/2at^2
V^2 = u^2 + 2as

s = height, distance, displacement
u = inital velocity
v = final velocity
a = acceleration
t = time

acceleration = change in velocity
time

displacement = how far out of place something is from any position
position = displacemtn from a fixed origin
velocity = rate of change of position (its magnitude is speed)
acceleration = rate of change of velocity (as in above equation)
distance = how much ground an object has covered during its motion
speed = magnitude of velocity

types of forces
weight (w)
friction (f)
Push and pull (p)
normal reaction (r)
tension (t) such as in a string, springs, rods
thrust (s) such thrust in a spring or rod, but in opposite direction

Force = mass x acceleration
weight = mass x gravitational pull

acceleration (ms^2)
velocity (ms^1)

tension is the same on both sides of a pully
Rope in tension, not thrust

Newton's First Law - A resultanat force is required to produce an acceleration
R - mg = ma

calcualting tension
T - mg = ma

a few equations of motion of a car
D - T = ma
T - mg = ma
R - mg = ma

D = driving force, T = tension, R = normal reaction or resistance

if a body is moving at a constant speed, the forces are in equlibrium

If a question includes air resistance, the equation for motion is
mg - R = ma

if the air resistance is proportional to the area perpendicualr to motion, air resistance is kA
mg - kA = ma

When combining forces, you are finding the resultant force

A rough surface causes friction
smooth surface causes no fricton

forecs on a car for example will be reduced by
driving force (forwards)
braking force (backwards)
resistance (to motion) air or water act in opposite direction to velocity

Graphs
Position - Time
Gradient = Velocity
Area = Nothing

Velocity - Time
Gradient = Acceleration
Area = Displacement

Distance - Time
Gradient = Speed
Area = Nothing

Speed - Time
Gradient = Magnitude of acceeration
Area = Distance

(DISTANCE is NOT negative, ONLY POSITIVE)

Velocity at an instant can be found by drawing a tangent at the curve of the point

if you have a position, differentiate once for the velocity and differentiate twice for acceleration



These are crap notes but still!!! Good Luck

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