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NEETPhysicsMotion in Two Dimensions

A particle is moving along a circular path such that its speed is continuously increasing. What will be the nature of the angle between its velocity vector and its net acceleration vector?

Options

  1. AAcute angle
  2. BObtuse angle
  3. CExactly 90^
  4. DExactly 0^

Correct answer

A. Acute angle

Step-by-step solution

For a particle moving in a circular path with an increasing speed, there are two components of acceleration: 1. Centripetal acceleration ( a_c ), which is directed towards the center of the circle and is perpendicular to the velocity vector. 2. Tangential acceleration ( a_t ), which is responsible for the increase in speed. Since the speed is increasing, a_t is in the same direction as the velocity vector. The net acceleration ( a ) is the vector sum of a _c and a _t . Because a _t is parallel to the velocity and a

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