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

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) $\left( \dfrac{u^{2}+v^{2}}{2u}\right) ^{2}$

(B) $\dfrac{u+v}{2}$

(C) $\dfrac{v-u}{2}$

(D) $\sqrt{\dfrac{u^{2}+v^{2}}{2}}$