`v^2 = u^2+2as`, where v and u are velocities, ‘a’ acceleration and ‘s’ displacement.Is the above equation dimensionally consistent? Definedimensionally consistency using above example.

v^2 = u^2+2as , where v and u are velocities, ‘a’ acceleration and ‘s’ displacement.Write the dimensions of the following: v^2 = ? U^2= ? 2as = ?

A body having an initial velocity V_0 has an acceleration a. Using velocity-time graph derive an equation for displacement of the above body.

classify the following system of equations as consistent or inconsistent x+2 y=2 , 2 x+3 y=3

A particle executes simple harmonic motion according to the equation. x=5sin((2π)/3 t) write an expression for velocity and acceleration of the above particle.

A company manufacturing PVC pipes claims in an advertisement that the volume of water flowing out through the pipe in a given time is as per the equation V=KA^2ut where A is the area of cross section of the pipe, u is the speed of flow, t is the time and K is a dimensionless constant. Name the principle that can be used to check the dimensional correctness of this equation.

Mechanical power is represented by P = Fv+Av^3p where, F is the force ,v is the velocity, A is the area and rho is the density. Check the dimensional validity of the above equation.