Question

Which of the following must be true for magnitude of average velocity of a body if v₁ and v₂ are magnitude of average speeds during successive time intervals t₁ and t₂ in which body covers distances d₁ and d₂ and displacements

$\overset{\rightarrow}{s_{1}}$ and $\overset{\rightarrow}{s_{2}}$?

• A. $\left| \frac{v_{1} + v_{2}}{2} \right|$
• B. $\left| \frac { v _ { 1 } t _ { 1 } + v _ { 2 } t _ { 2 } } { \frac { d _ { 1 } } { v _ { 1 } } + \frac { d _ { 2 } } { v _ { 2 } } } \right|$
• C. $\left| \frac{\overset{\rightarrow}{s_{1}} + \overset{\rightarrow}{s_{2}}}{\frac{d_{1}}{v_{1}} + \frac{d_{2}}{v_{2}}} \right|$
• D. None of these

Answer 1

Answer: (C)

$\left| \frac{\overset{\rightarrow}{s_{1}} + \overset{\rightarrow}{s_{2}}}{\frac{d_{1}}{v_{1}} + \frac{d_{2}}{v_{2}}} \right|$

Answer 2

Conceptual.