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If a=(3t^2+2t+1) m/s^2 is the expression...

If `a=(3t^2+2t+1)` `m/s^2` is the expression according to which the acceleration of a particle varies. Then-
`a=(3t^2+2t+1)` `(m)/(s^2)`
Q. Find displacement of the particle after 2 seconds of start.

A

`26m`

B

`26//3m`

C

`30/7m`

D

`26//7m`

Text Solution

Verified by Experts

The correct Answer is:
B
`underset(0)overset(s)intdS=underset(0)overset(2)int(t^(3)+t^(2)+t)dt,S[(t^(4))/(4)+(t^(3))/(3)+(t^(2))/(2)]_(0)^(2)`
`S=4+(8)/(3)+2S=(12+8+6)/(3)=(26)/(3)`
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