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2.2.1 Deriving the suvat Formulae
Deriving the suvat Formulae
What is suvat?
suvat is an acronym for the five quantities used when modelling motion in a straight- line with constant acceleration
s – displacement (from the starting point)
u – initial velocity
v – final velocity
a – acceleration
t – time
All except time are
vector quantities and can be negative
time is a
What are the suvat (constant acceleration) equations?
five equations for motion in a straight line are:
The equations can
only be used when the motion has constant acceleration All equations connect four of the five quantities
three allows a fourth to be found
The equations are
not provided in the exam so you need to memorise them
How do I derive the suvat equations?
four equations that involve time can be derived from a velocity-time graph
The velocity-time graph will be a
straight line as the acceleration is constant The fifth equation can be found by choosing any two of the equations and eliminating the t variable (see the worked example)
If asked to derive any of the formulae there may be a velocity-time graph provided. Make sure you show each step and state any reasons such as the gradient of the graph being the acceleration.
If the question does not ask you to derive the formulae then you can use them freely without proof.