Introduction to motion in one dimension:-
When a object moves in a straight line, motion of the object is called as motion in one dimension.
This type of motion is also called as linear motion. For example, 1. A ball moves on a level road in straight Line, 2. A ball is thrown straight up, 3. Free falling bodies. One dimensional motion is the simplest motion in physics.
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Some definitions orf motion in one dimensions:
Displacement- the shortest distance between initial and final point is called as displacement.
Distance- the length of path travelled by object between initial and final points is called as distance travelled by object.
Speed – speed of object can be calculated by eq. - Speed = distance/ time.
Average speed- average speed is the average of all speeds attained by object during trip.
It can be calculated by eq. - average speed = total distance travelled / total time taken
Velocity- velocity of the object can be calculated by eq.- velocity = displacement / time
General Units of velocity is meter/second, kilometer/hour, miles/ hour. SI unit of velocity is meter/second.
Average velocity- average velocity of object can be calculated by eq. –
Average velocity = change in position / time interval
Acceleration- acceleration of the object is the rate of change of velocity. It can be calculated by eq.-
Acceleration = change in velocity / time interval
Uniform motion- when speed of the object is constant throughout one dimensional motion. Motion is called as uniform motion.
Non-uniform motion- speed in non-uniform motions is not constant and these motions have acceleration.
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Distance- time graph : Motion in one dimension
Distance- time graph in one dimensional motion is drawn between distance travelled and time. For uniform one dimensional motion this graph shows a straight line. Slope of line represents the velocity of motion. For non-uniform one dimensional motion, this graph shows a curve.