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JEE Main202229 Jul 2022Morning ShiftPhysicsMotion in One DimensionActual

If t = x + 4 , then d x d t t = 4 is:

Options

  1. A4
  2. BZero
  3. C8
  4. D16

Correct answer

B. Zero

Step-by-step solution

Given that t = x + 4 ⇒ x = t - 4 2 = t 2 - 8 t + 16 Differentiating the above equation with respect to time, ⇒ d x d t = 2 t - 8 Putting the value of t = 4 ⇒ d x d t = 2 × 4 − 8 = 0

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