The velocity v of a particle is given by the  equation `v=6t^(2)-6t^(3)`, where v is in `ms^(-1)
Channel: Doubtnut
Date: 2020-04-26

The velocity v of a particle is given by the  equation `v=6t^(2)-6t^(3)`, where v is in `ms^(-1)`, t is the instant of time in seconds while 6 and 6 are suitable dimensional constants. At what values of t will the velocity be maximum and minimum ?  Determine these maximum and minimum values of the velocity.