A particle starting from the origin ( 0 , 0 ) moves in a straight line in the ( x , y ) plane. Its coordinates at a later time are ( 3 , 3 ) . The path of the particle makes with the x -axis an angl

Question

A particle starting from the origin ( 0 , 0 ) moves in a straight line in the ( x , y ) plane. Its coordinates at a later time are ( 3 ​ , 3 ) . The path of the particle makes with the x -axis an angle of:NEET 2007

TestHub · Accepted Answer

Particle starts moving from ( 0 , 0 ) and goes till ( 3 ​ , 3 ) . So total displacement along x axis is 3 ​ unites and along y axis is 3 units. We know that: ​ ⇒ tan ( θ ) = x y ​ ⇒ tan ( θ ) = 3 ​ 3 ​ ⇒ tan ( θ ) = 3 ​ ⇒ θ = 3 π ​ = 6 0 ∘ ​

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