# A small particle of mass 𝑚 is projected at an angle 𝜃 with the 𝑥-axis with an initial velocity 𝑣0 in the 𝑥-𝑦 plane as shown in the figure. At a time 𝑡 < 𝑣0 /sinθ 𝑔 , the angular momentum of the particle is

Question : A small particle of mass 𝑚 is projected at an angle 𝜃 with the 𝑥-axis with an initial velocity 𝑣0 in the 𝑥-𝑦 plane as shown in the figure. At a time 𝑡 < 𝑣0 /sinθ 𝑔 , the angular momentum of the particle is

(A) $-mgv_{0}t^{2}\cos \theta \widehat{j}$

(B) $mgv_{0}t^{2}\cos \theta \widehat{k}$

(C) $-\dfrac{1}{2}mgv_{0}t^{2}\cos \theta \widehat{K}$

(D) $\dfrac{1}{2}mgv_{0}t^{2}\cos \theta \widehat{i}$