.If x= at +bt^2 where x is in metre and t in hour,what will be the unit of a and b?

If x = a + bt + ct^2 , where x is metres and t in seconds, then the unit of a is

If x = at + bt^(2) where x is in meter (m) and t is in hour (hr) then unit of b will be .

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

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?

The position x of a particle with respect to time t along x-axis is given by x=9t^(2)−t^(3) where x is in metres and t is in seconds. What will be the position of this pariticle when it achieves maximum speed along the + x direction ?

The displacement of a particle is moving by x = (t - 2)^2 where x is in metres and t in second. The distance covered by the particle in first 4 seconds is.

The position of a Particle of Mass 4 g,acted upon by a constant force is given by x= 4t^(2) +t,where x is in metre and t in second .The work done during the first 2 seconds is

In S=a+bt+ct^2 . S is measured in metres and t in seconds. The unit of c is

A force F is given by F = at + bt^(2) , where t is time . What are the dimensions of a and b ?