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Motion In A Plane

Question
CBSEENPH11020767

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  ( square root of 3 comma space 3). The path of the particle makes with the x -axis an angle of:

  • 30o

  • 45o C

  • 60o C

  • 00

Solution

C.

60o C

The slope of the path of the particle gives the measure of angle required.

Draw the situation as shown. OA represents the path of the particle starting from origin O (0,0). Draw a perpendicular from point A to X- axis. Let path pf the particle makes and angle θ with the x -axis, then 
tan θ = slope of line OA

AB over OB space equals space fraction numerator 3 over denominator square root of 3 end fraction space equals space square root of 3
theta space equals space 60 to the power of 0