UNIFORM MOTION IN A STRAIGHT LINE

An object is said to be in uniform motion if it undergoes equal discplacement in equal interval of time, howsoever small these intervals may be.

Consider an object in uniform motion along a straight line OX with a velocity &vcirc;. Let point O be the origin for position measurment. Let the time be measured from the instant the object is at O. Let A and B the postions of the object at the instants of time t1 and t2 respectively, where &OAcirc;=&x1circ; and &OBcirc;=&x2circ;

∴ Displacement of the object in time interval (t2-t1)=&ABcirc;=&OBcirc;-&OAcirc;=&x2circ;-&x1circ;

As, velocity= displacement/time interval

Important features of uniform motion

1. For a uniform motion along a straight line in a given direction , the magnitude of the displacement equal to the actual distance covered by the object.

2. The velocity in uniform motion does not depend upon the time interval.

3. The velocity in uniform motion is independent of choice of origin.

4. The Velocity of an object is taken to be positive if the object is moving towards the right of origin and is taken to be negetive if the object is moving towards the left of origin.

5. No force is required for an object to be in uniform motion.

6. The average and instantaneous velocities have same value in a uniform motion.