Question

A car is moving from A to B in straight line at constant acceleration. If velocities at A and B are u and v respectively, then velocity at the midpoint of A and B is

• A. $\frac{v+u}{2}$
• B. $\frac{2uv}{4+v}$
• C. $\sqrt{\frac{u^2+v^2}{2}}$
• D. $\frac{v-u}{2}$

Answer 1

The correct option is C $\sqrt{\frac{u^2+v^2}{2}}$


$\Rightarrow v^2=u^2+2a\times 2d$
$v_0^2=u^2+2ad$
$v_0^2=u^2+\frac{v^2-u^2}{2}\Rightarrow v_0^2=\frac{u^2+v^2}{2}\Rightarrow v_0=\sqrt{\frac{u^2+v^2}{2}}$