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

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}}

Answer : option (D)

Solution :

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
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