The velocity of a particle is given by `v=(2t^(2)-4t+3)m//s` where t is time in seconds. Find its acceleration at t=2 second.

Answer

D

Explanation

For boat (w.r.t. ground) `v_(y)=v, v_(x)=u=(y(d-y))/d^(2)vrArr (dy)/(dt)=v` and `(dx)/(dt)=v=(y(d-y))/d^(2) v`
`rArr (dx)/(dy)=(y(d-y))/d^(2)rArr int_(0)^(x)dx=int_(0)^(y)((yd-y^(2)))/d^(2) dy rArr x=y^(2)/(2d)-y^(3)/(3d^(2))`