1
Question
A stationary man observes that the rain strikes him at an angle 60∘ to the horizontal. When he begins to move with a velocity of 25 m/s then the drops appear to strikes him at an angle of 30∘ from horizontal the velocity of the rain drops is
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Solution
→VR=−VRcos30∘^j−VRsin30∘^i
→VR=−VR2^i−VR√32^j
→VM=25^i
→VRM=−V′Rcos60∘^j−V′Rsin60∘^i
→VRM=−V′R√32^i−V′R2^j
→VR=(25−V′R√32)^i−V′R2^j
On comparing V′R=√3VR
25−V′R√32=−VR2
VR=25 m/s
→VR=−VRcos30∘^j−VRsin30∘^i→VR=−VR2^i−VR√32^j
→VM=25^i
→VRM=−V′Rcos60∘^j−V′Rsin60∘^i
→VRM=−V′R√32^i−V′R2^j
→VR=(25−V′R√32)^i−V′R2^j
On comparing V′R=√3VR
25−V′R√32=−VR2
VR=25 m/s
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