Question
Force-time graph for a body is shown in figure. Locate the regions of time if the body has uniform motion, uniformly accelerated motion, non-uniformly accelerated motion, uniformly retarded motion, non-uniformly retarded motion.

Solution
Ans.
(i) For ,
The force acting on the body is constant. Thus, the body has uniform accelerated motion.
(ii) For,
Force on the body is zero, therefore body has uniform motion.
(iii) For ,
The force is negative and increases linearly with time in magnitude, thus the motion is non-uniformly retarded motion.
(iv) For ,
The force is positive and increases linearly with time, thus the motion is non-uniformly accelerated motion.
(v) For ,
The force acting on the body is constant, thus the body has uniform accelerated motion.
(vi) For ,
The force acting on the body is constant and negative, thus the body has uniformly retarded motion.