A particle starts from rest at ` t= 0` and undergoes and acceleration (a) in `ms^(-2)` with time (t) in seconds which is shown in Fig. 2 (DF) .16 . Which one of the following plot represents velocity (v) (in `ms^(-1)`) verses time (in seconds ) ?

Options

A.
B.
C.
D.

Answer

A

Explanation

Taking the motion from 0 to 2 s
`u=0, a=3 ms^(-2), t=2s, upsilon = ?`
`upsilon=u+at=0+3xx2=6 ms^(-1)`
Taking the motion from 2s to 4s
`upsilon=6+(-3)(2)=0 ms^(-1)`