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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

The position of an object moving along the x-axis is given by \( x = a + bt^2 \), where \( a = 8.5\text{ m} \), \( b = 2.5\text{ m s}^{-2} \) and \( t \) is in seconds. What is the instantaneous velocity at \( t = 2.0\text{ s} \)?

  1. A
    \( 5.0\text{ m s}^{-1} \)
  2. B
    \( 15.0\text{ m s}^{-1} \)
  3. C
    \( 2.5\text{ m s}^{-1} \)
  4. D
    \( 10.0\text{ m s}^{-1} \)
View Answer & Solution

Correct answer · Option D

\( 10.0\text{ m s}^{-1} \)

Explanation

Velocity \( v = \frac{dx}{dt} = 2bt \). Substituting \( b = 2.5 \) and \( t = 2.0\text{ s} \), we get \( v = 2(2.5)(2) = 10\text{ m s}^{-1} \).
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