The position of the particle moving along `Y`-axis is given as `y=At^(2)-Bt^(3)`, where `y` is measured in metre and `t` in second. Then, the dimensions of `B` are

The position of a particle moving along the y-axis is given as y=3t^(2)-t^(3) where y is in , metres and t is in sec.The time when the particle attains maximum positive y position will be

The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

Position of a particle moving along x-axis is given by x=6t-t^(2)+4 , where x is in metre and t is in second. Which of the following is correct?

If x =2 at -5 bt^2, where x is in metre and t is in seconds, find the dimensions of a//b.

If x = a+bt+ ct^(2) , where x is in metres and t in seconds what are the dimensions of b and c?

The position of a particle with respect to time t along y-axis is given by : y = 12t^2 – 2t^3 , where, y is in metres and t is in seconds. When the particle achieves maximum speed, the position of the particle would be

The position of a particle with respect to time t along y-axis is given by : y = 12t^2 – 2t^3 , where, y is in metres and t is in seconds. When the particle achieves maximum speed, the position of the particle would be

The position of a particle moving along x-axis depends on time according to the equation x = at^2 +bt^3, where x is in metre and t is in sec. What are the units and dimensions of a and b : what do they represent?