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 in second. What are the units and dimensions of a and b ? What do these represent ?

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

If x= a+bt+ ct^(2) , where x is in metre and t is in second , what is the dimensional formula of c?

A particle moves along a straight line according to the law s=t^3/3 -3t^2+9t+17 , where s is in meters and t in second. Velocity decreases when

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

The position time relation of a moving particle is x = 2t - 3t^2 When does the velocity of the particle become zero? (x is in metre and t is in second)

The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t = sqrt(x+3) where x is in meters and t is in seconds. Finds the displacement (in metres ) of the particle when its velocity is zero.