Motion in a Plane - Result Question 24

26. A particle starting from the origin (0,0) moves 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

(a) 45

(b) 60

(c) 0

(d) 30

[2007]

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Answer:

Correct Answer: 26. (b)

Solution:

(b)

Let θ be the angle which the particle makes with x-axis.

From figure, tanθ=33=3

θ=tan1(3)=60

If a vector R in XY plane then its orthogonal vector RX=Rcosθ and RY=Rsinθ.

 And RsinθRcosθ=tanθ=RYRX



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