Question

If k × velocity × mass is displacement, then the dimensions of k are...

Answer 1

Velosity has the dimensions $m/s$, mass - $kg$, displacement - $m$. let's denote the dimensions of $k$ as $x$. Then obtain the following equation:

$$x\cdot \dfrac{m}{s}\cdot kg = m$$

Expressing $x$. obtian:

$$x = m\cdot \dfrac{s}{m}\cdot \dfrac{1}{kg} = \dfrac{s}{kg}$$

Answer. s/kg.