STANDARD Physics Instantaneous Velocity MCQ Question
The position of an object moving along x-axis is given by x = a + bt², where a = 8.5 m and b = 2.5 m s⁻² and t is measured in seconds. The instantaneous velocity of the object at t = 2 s is.
5 m s⁻¹
10 m s⁻¹
15 m s⁻¹
20 m s⁻¹
Correct Answer
Detailed Explanation
Here, x = a + bt² where a = 8.5 m and b = 2.5 m s⁻². Velocity, v = dx/dt = d/dt(a + bt²) = 2bt. At t = 2 s, v = 2(2.5 m s⁻²)(2 s) = 10 m s⁻¹.
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