A particle starts from rst at ` t= 0` and undergoes and acceleration (a) in ms^(-2)` with tiem (t) in seconds which is shown in Fig. 2 (DF) .16 . Which one of the following plot repesents velocity (v) (in ms_1) versis time (in seconds ) ?

Options

A.
B.
C.
D.

Answer

A

Explanation

Refer to Fig. 2 (CF) . 48,
.
taking the motion of particle from ` 0` to `2 s`, we have ` u=0, a =3 ms^(-2) , t = 2 s, v=?`
` v= u + at = 0 + 3 xx 2 = 6 ms^(-1)`
Taking motion of particle from ` 2 s` to ` 4 s`, we have
` v= 6 + (-3) xx (2) =0 ms^(-1)`.