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Motion in A Plane question

2020 · 8 Jan · Shift 2 · Q39
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  5. /2020 · 8 Jan · Shift 2 · Q39

Motion in A Plane question

2020 · 8 Jan · Shift 2 · Q39

JEE MainPhysicsMotion in A PlaneMCQ+4 / −1
A particle moves such that its position vector r→(t)=cos⁡ωti^+sin⁡ωtj^\overrightarrow r \left( t \right) = \cos \omega t\widehat i + \sin \omega t\widehat jr(t)=cosωti+sinωtj​ where ω\omegaω is a constant and t is time. Then which of the following statements is true for the velocity v→(t)\overrightarrow v \left( t \right)v(t) and acceleration a→(t)\overrightarrow a \left( t \right)a(t) of the particle :
  1. A
    v→\overrightarrow vv and a→\overrightarrow aa both are perpendicular to r→\overrightarrow rr
  2. B
    v→\overrightarrow vv and a→\overrightarrow aa both are parallel to r→\overrightarrow rr
  3. C
    v→\overrightarrow vv is perpendicular to r→\overrightarrow rr and a→\overrightarrow aa is directed towards the origin
  4. D
    v→\overrightarrow vv is perpendicular to r→\overrightarrow rr and a→\overrightarrow aa is directed away from the origin
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