A particle has arbitrary motion in the space. Which of the following statements are true or false?
(i) Total length of path is always equal to magnitude of displacement of particle.
(ii) Average speed is always less than instantaneous speed.
(iii) Position of particle at any instant is given by
(iv) Average acceleration of motion is zero if initial and Final velocity of a particle is same.
(i) False, the total length of path is either greater or equal to magnitude of displacement. This statement is true only if the particle is moving in a straight path.
(ii) False, average speed may be less, equal or greater than the speed at any instant.
(iii) False, the given relation is true only for uniform accelerated motion.
(iv)True. For a particle moving with a constant velocity, acceleration will remain the same.