write the uniform and non uniform motion?and write the equation of motion
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Answers
Answer:
UNIFORM MOTION AND NON-UNIFORM
MOTION:A body is said to be in uniform motion, if it travels equal distances in equal intervals of time. A body is said to have non-uniform motion, if it travels unequal distances in equal intervals of time. We can say that the motion is called uniform motion.
Answer:
Uniform acceleration: When the change in the velocity of a moving body is the same in each second then its acceleration is said to be uniform. Such motion is said to be uniformly accelerated motion or uniform motion.
Non-Uniform acceleration: When the change in velocity of a moving body is not the same in each second then its acceleration is said to be non-uniform acceleration. Such motion is called non-uniform motion.
The equation of motions from the velocity-time graph:
The velocity-time graph for a body under uniform acceleration is shown in the figure.
Let initial velocity of the body = u
The final velocity of the body = v
Time is taken by the body = t
Acceleration of the body = a
Derivation of the first equation of motion:
According to the definition,
Acceleration of a body = Rate of change of velocity i.e. slope of the velocity-time graph.
The velocity-time graph for a uniformly accelerated body is given by the straight line AB. So, acceleration of the body is equal to the slope of the line AB.
Acceleration = Slope of line AB.
First equation of motion
Derivation of the second equation of motion
Under the uniform acceleration, from the figure, one can write
Distance travelled (s) = Area of trapezium OABC
S = Area of the triangle ABD + Area of rectangle OADC.This is second equation of motion.
Derivation of third equation of motion
Distance travelled, s = Area of the trapezium OABC
(Sum of the parallel sides) Perpendicular distance between the two parallel sides
