(a) What does `|(dv)/(dt)|` and `(d|v|)/(dt)` represent? (b) Can these be equal?

(i) What does |(dv)/(dt)| and (d|V|)/(dt) represent ? (ii) Can these be equal ? (iii) Can (d|V)/(dt)= 0 while |(dV)/(dt)ne0 ? (iv) Can (d|V|)/(dt)ne 0 while |(dv)/(dt)|=0 ?

(i) What does |(dv)/(dt)| and (d|V|)/(dt) represent ? (ii) Can these be equal ? (iii) Can (d|V)/(dt)= 0 while |(dV)/(dt)ne0 ? (iv) Can (d|V|)/(dt)ne 0 while |(dv)/(dt)|=0 ?

What does d|vec(v)|//dt and |d vec(v)//dt| represent ? Can these be equal ? Can. (a) d|vec(v)|//dt = 0 while |d vec(v)//dt| != 0 (b) d|vec(v)|//dt != 0 while |d vec(v)//dt| = 0 ?

(-d[NH_(3])/dt) represents

If 2t= v^(2) then (dv)/(dt) = …….

The equation (d^2y)/(dt^2)+b(dy)/(dt)+omega^2y=0 represents the equation of motion for a

The equation (d^2y)/(dt^2)+b(dy)/(dt)+omega^2y=0 represents the equation of motion for a

The equation (d^(2)y)/(dt^(2))+b(dy)/(dt)+omega^(2)y=0 represents the equation of motion for a……………….vibration.

The solution of (dv)/(dt)+(k)/(m)v=-g is