Question

A particle is moving with constant acceleration from $A$ to $B$ in a straight line $AB$. If $u$ and $v$ are the velocities at $A$ and $B$ respectively then its velocity at the midpoint $C$ will be

• A. ${{\left( \frac{{{u}^{2}}+{{v}^{2}}}{2u} \right)}^{2}}$
• B. $\frac{u+v}{2}$
• C. $\frac{v-u}{2}$
• D. $\sqrt{\frac{{{u}^{2}}+{{v}^{2}}}{2}}$

Answer 1

Answer: (D)

$\sqrt{\frac{{{u}^{2}}+{{v}^{2}}}{2}}$

Answer 2

We have standard result for this type of velocity $=\sqrt{\frac{{{u}^{2}}+{{v}^{2}}}{2}}$