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Physics · MOTION IN A STRAIGHT LINE
हिन्दीThe 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 \( t = 2.0\text{ s} \)?
Correct answer · Option 4
\( 10.0\text{ m s}^{-1} \)
Explanation
Velocity \( v = \frac{dx}{dt} = 2bt \). Substituting \( b = 2.5 \) and \( t = 2.0\text{ s} \), we get \( v = 2(2.5)(2) = 10\text{ m s}^{-1} \).
