Physics · Kinematics
A particle moves such that its position vector is given by r(t) = cos(ωt)i + sin(ωt)j, where ω is a constant and t is time. Which of the following statements is true for the velocity v(t) and acceleration a(t) of the particle?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1v is perpendicular to r and a is directed towards the origin.✓
- 2v and a both are parallel to r.
- 3v and a both are perpendicular to r.
- 4v is perpendicular to r and a is directed away from the origin.
Correct answer
v is perpendicular to r and a is directed towards the origin.
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