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A particle starts from rest at t= 0 and...

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 ) ?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A
t = 0 to 2 sec
u = 0`, a=3 m//s^2`
`rArr v = u + at = 3 xx2 = 6m//s`
Now, t = 2 to 4 second
`v = 6 - 3 xx 2 = 0m//s`
`a = 3, 0 lt t lt 2`
` = -3, 2 lt t lt 4`
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