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NEETPhysicsMotion in One Dimension

Match the following columns. ( array |c|l|c|l| & Column I & & Column II (A) & d v dt & (p) & Acceleration (B) & d | v | dt & (q) & Magnitude of acceleration (C) & d r dt & (r) & Velocity (D) & | d r dt | & (s) & Magnitude of velocity array )

Options

  1. A(( A p , B q , C r , D s ) )
  2. B(( A q , B p , C r , D s ) )
  3. C(( A r , B s , C q , D p ) )
  4. D(( A s , B r , C p , D q ) )

Correct answer

B. (( A q , B p , C r , D s ) )

Step-by-step solution

- Part A: ( d y d t ) - This is the time derivative of velocity. By definition, the rate of change of velocity is acceleration. Since velocity is a vector, its derivative is also a vector, representing acceleration. - Therefore, (A) matches with (p) Acceleration. - Part B: ( d|v| d t ) - This is the time derivative of the magnitude of velocity (speed). This quantity is the rate of change of speed. This is NOT the same as the magnitude of acceleration. For example, in uniform circular motion, the speed is constant,

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