Question

A particle moves in a straight line and its
position is defined by the equation x = 6t2-t3?
- where t is expressed in seconds and x
in metres. The maximum velocity during
the motion is​

Answer 1

v = dx/dt= 12t - 3t^2

a= dv/dt = 12 - 6t

Particle will have maximum velocity when a= 0

12 - 6t= 0

t= 12/6= 2

v=12*2 - 3*2^2

= 24 - 12

= 12m/s