Saad asked in Science & MathematicsPhysics · 4 years ago

Homogeneity of Equation?

Can you please prove that this equation is HomoGenous(Units on the left should be equal to units on the right).


Equation : s=ut+1/2at2

3 Answers

  • NCS
    Lv 7
    4 years ago
    Favorite Answer

    LHS: s, distance, has units of length L.

    RHS: ut = velocity*time has units of (L/T)(T) = L,

    and ½at² = ½ * acceleration * time² has units of (L/T²)(T²) = L.

    Therefore the equation is homogeneous.

    If you find this helpful, please award Best Answer!

  • Vaman
    Lv 7
    4 years ago

    Homogeneity and isotropy are wrt space co-ordinates. In your case you have time. Therefore, the equation is neither homogeneous or isotropic.

  • 4 years ago

    You forgot to include the equation!

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