Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The velocity and acceleration of a point-like body at the initial moment of its motion are v0 =8 m s-1 and a=2 m s-2 respectively. The acceleration vector of the body remains constant. The minimum radius of curvature of the trajectory of the body is

PhysicsLaws of MotionJEE Main
Options:
  • A 2 m
  • B 4 m
  • C 8 m
  • D 16 m
Solution:
1001 Upvotes Verified Answer
The correct answer is: 8 m
The acceleration vector shall change the component of velocity uII along the acceleration vector.

r=v2an

The radius of curvature rmin means v is minimum and an is maximum. This is at the point P when the component of velocity parallel to the acceleration vector becomes zero, that is uII = 0.



∴   R=u2a=422=8 m

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.