Kinematics of a particle moving in a straight line
s - Displacement (distance)
u - Starting (initial) velocity
v - Final velocity
a - Acceleration
t - Time
If a particle is slowing down it has negative acceleration. this is called deccelration or retardation.
Convert all measurements into SI units!!
Time (t) - Seconds (s)
Displacement (s) - Metres (m)
Velocity (v or u) - Metres per second (ms ^1)
Acceleration (a) - Metres per second per second (ms^2)
Formulae for solving problems about particles moving in a straight line with constant accelaration.
v = u + at
s = (u + v) t/2
v² = u² + 2as
s = ut + ½at²
s = vt - ½at²
An object moving vertically in a straight line can be modelled as a particle with a constant downward acceleration of g = 9.8 ms^2
The gradient of a speed time graph illustrating the motion of a particle represents the acceleration of the particle.
The area under a speed time graph illustrating the motion of a particle represents the distance moved by the particle.
Area of a trapezium = average of the parallel sides X height
= ½ (a+b)h
A constant speed, distance = speed X time