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graphs and motion

distance / displacement / velocity - time graphs, equations of motion

TermDefinition
distance - time graph descriptions at a given point in time The height of line - the distance travelled by an object (can only be positive as distance is a scalar) The gradient - the speed of the object (linear = constant speed)
displacement - time graph descriptions at a given point in time the height of the line - the displacement of the object relative to the chosen starting point (pos means to be in 1 direction relative to the point, neg means to be in the other direction) the gradient - the velocity of the object
velocity - time graph descriptions at a given point in time The height of the line - the velocity of the object (pos means moving in 1 direction, neg means moving in the other) the gradient - the acceleration of the object (linear = constant acceleration) the area under the curve - the distance travelled
SUVAT equations S - displacement U - initial velocity V - final velocity A - acceleration T - time These are used to model motion
derivation of the equations of motion Analysing velocity - time graphs
modelling free fall Using SUVAT, where the acceleration is g (9.81 for OCR A)
standard rules of free fall / projectile motion - assume no air resistance / other forces - assume the issue can be modelled as a particle - assume that the vertical information provides better insight into the problem
projectile motion using SUVAT in the horizontal and vertical directions, where only time is shared between the two
velocities if angles are used (full body diagrams) the horizontal initial velocity is total velocity x cos(angle) the vertical initial velocity is total velocity x sin(angle) the final horizontal velocity is the same as the initial the final vertical velocity is the negation of the initial velocity
full body vs half body diagrams full body - describing the problem from the start to when the object reaches the ground half body - describing the problem from the start to the turning point both are valid approaches because the arc formed is parabolic
scalars and vectors distance, speeds and time are scalars (only have magnitude) displacement, velocity and acceleration are vectors (magnitude and direction)
Created by: That cool NAMe
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