equation of motion

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Expert Solution

The equations of motion relate the displacement of an object with its velocity, acceleration and time. The motion of particle can follow many different paths, but in the following sections we will focus on motion in a straight line, i.e. in one dimension. As this motion is in one dimension, we shall simply use signed magnitudes of the displacement, velocity and acceleration - negative values shall be used to denote vectors in the opposite direction to positive quantities.

If there is no acceleration, we have the familiar formula:
s=vt
where s is the displacement, v the (constant) speed and t the time interval in which motion occurred.

EQUATIONS OF MOTION
VARIABLE	EQUATION
velocity	v=u+at
displacement with positive acceleration	s=ut+1/2*at^2
displacement with negative acceleration	s=ut-1/2*at^2
displacement knowing initial and final speeds	s=0.5(u+v)t
velocity squared	v^2=u^2+2as

samet mamat answered 1 year ago

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