For an object moving on a straight line, draw `xtot` graphs for :
(i) When it is rest.
(ii) When it is moving with constant velocity in positive direction.
(III) When it is moving with constant velocity in · negative direction.
(iv) When it performs non-uniform motion.

Explanation

Motion of an object can be represented by a position--time graph.
Such a graph is a powerful tool to represent and analyse different aspects of motion of an object.
For motion along a straight line, say X-axis, only x-coordinate varies with time and we have an x-t graph.(1) Let us first consider the simple case in which an object is stationary, e.g. : a object standing still at x = 40 m. The position-time graph is a straight line parallel to the time axis.

(2) If an object moving along the straight line covers equal distances in equal intervals of time, it is said to be in uniform motion.

(3) The` xto` graph for any object moving with constant negative velocity is as below.
(4) (a) If object covers different distances in different intervals of time, it is said to be nonuniform motion. The `x to` t graph for it is as below:

(b) Let us consider the motion of a car that starts from rest at time t = Os from the origin O.

Picks up speed till 10s and thereafter moves with uniform speed till t = 18 s. Then the brakes are applied and the car stops at t 20 s and x = 296 m. The position-time graph for this case is as above.