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Question Number 84628 by mr W last updated on 14/Mar/20

Commented by mr W last updated on 14/Mar/20

The distance between A and B is d.  Two projectiles are shot at the same  time as shown.  After which time are the projectiles  closest to each other? Find this   smallest distance between them.

ThedistancebetweenAandBisd.Twoprojectilesareshotatthesametimeasshown.Afterwhichtimearetheprojectilesclosesttoeachother?Findthissmallestdistancebetweenthem.

Answered by ajfour last updated on 14/Mar/20

Commented by ajfour last updated on 14/Mar/20

v=(√(u_1 ^2 +u_2 ^2 +2u_1 u_2 cos (θ_1 +θ_2 )))  tan (θ_1 +α)=((u_2 sin (θ_1 +θ_2 ))/(u_1 +u_2 cos (θ_1 +θ_2 )))  t_s =((dcos α)/v)  ,  s=dsin α .

v=u12+u22+2u1u2cos(θ1+θ2)tan(θ1+α)=u2sin(θ1+θ2)u1+u2cos(θ1+θ2)ts=dcosαv,s=dsinα.

Commented by mr W last updated on 14/Mar/20

perfect sir!

perfectsir!

Commented by mr W last updated on 14/Mar/20

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