question_answer

The velocity v of a particle depends on time t as:         \[\upsilon =A{{t}^{2}}+Bt+C\] where \[\upsilon \] is in m/s and t in second. What are the units of A, B and C?

Answer:

                Units of \[\text{A =}\frac{\text{Unit of }\upsilon }{\text{Unit of }{{\text{t}}^{\text{2}}}}=\frac{m{{s}^{-1}}}{{{s}^{2}}}=m{{s}^{-3}}\]                 Units of \[\text{B =}\frac{\text{Unit of }\upsilon }{\text{Unit of t}}=\frac{m{{s}^{-1}}}{s}=m{{s}^{-2}}\]                 Unit of \[C=\text{Unit of}\upsilon =m{{s}^{-1}}\].