* Dimensions of each term:

* Mass (m): [M] (kilograms)

* Acceleration (a): [LT⁻²] (meters per second squared)

* Velocity (v): [LT⁻¹] (meters per second)

* Left-hand side (mass times acceleration): [M][LT⁻²] = [MLT⁻²]

* Right-hand side (velocity squared): [LT⁻¹]² = [L²T⁻²]

The dimensions on both sides of the equation do not match. Therefore, the equation is dimensionally incorrect.

Correct Equation:

The correct equation relating mass, acceleration, and velocity is Newton's Second Law of Motion:

Force (F) = mass (m) × acceleration (a)

Dimensionally, this equation is correct:

* Force (F): [MLT⁻²] (Newtons)

* Mass (m): [M] (kilograms)

* Acceleration (a): [LT⁻²] (meters per second squared)

[MLT⁻²] = [M][LT⁻²]