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Two stones are thrown simultaneously from the same point with equal speed v at an angle 30degree and 60 degree respectively with positive axis. the velocity with which stones move relative to each other in the air is? 2vcos15 2vsin15 2vtan15 2vcot15

Two stones are thrown simultaneously from the same point with equal speed  v at an angle 30degree and 60 degree respectively with positive axis. the velocity with which stones move relative to each other in the air is?
 
2vcos15
2vsin15
2vtan15
2vcot15
 

Grade:12th pass

1 Answers

Vikas TU
14149 Points
5 years ago
Dear student,
Horizontal velocity vector for both the stones would be => 
Stone 1 and 2 => vcos30 and vcos60 respectively.
Relative x velcoty would be => vcos60 – vcos30 => v(1/2 – root(3)/2)
 
Vertical velocity would be =>
Stone 1 and 2 => vsin30 and vsin60 respectively.
Relative velcity would be => vsin60 – vsin30 => v(root3/2 – 1/2)
Resultant velocity => root((v(root3/2 – 1/2))^2 + (v(1/2 – root(3)/2))^2) =>root2*v(1/2 – root(3)/2) m/s

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