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Q.

A small particle of mass m is projected at an angle θ with the x-axis with an initial velocity us in the x-y plane as shown in the figure. At a time t

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a

12mgv0t2cos⁡θi^

b

−mgv0t2⋅cos⁡θj^

c

mgv0tcos⁡θk^

d

−12mgv0t2cos⁡θk^

answer is D.

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Detailed Solution

L→=r→×p→ where r→=xi^+yj^=v0cos⁡θti^+v0sin⁡θt−12gt2j^and  p→=mv→=mv0cos⁡θi^+v0sin⁡θ−gtj^So, j→=i^j^ v0cos⁡θtv0sin⁡θt−12gt20mv0cos⁡θmv0sin⁡θ−gt0=−12mgv0t2cos⁡θj^
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