question_answer

A particle is moving with constant acceleration from A to Bin 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)        \[\sqrt{\frac{{{u}^{2}}+{{v}^{2}}}{2}}\]

E) \[\sqrt{\frac{{{v}^{2}}-{{u}^{2}}}{2}}\]