The velocity time graph of a particle is given by

(i) Calculate distance and displacement of particle from given v-t graph.
(ii) Specify the time for which particle undergene acceleration, retardation and moves with constant velocity.
(iii) Calculate acceleration, retardation from given v-t graph.
(iv) Draw accleration-time graph of given v-t graph.

Explanation

(i) distance = area of `DeltaOAB +` area of trapezium BCDE
`=12+28=40m`
(ii) displacement = area of `DeltaOAB –` area of trapezium BCDE
`=12-28= -16m`
(iii) time acc. `(0 le t le 4) and (12 le t le 16)`
retardation `(4 le t le 8)`
constant velocity `(8 le t le 12)`
(iv)