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A body moves along a straight line with displacement \(s = 4t^2 + 2ts =4t^2+2ts=4t^2+2t\) (in m, t in s). Its instantaneous acceleration is:

This question was previously asked in
HTET 2025 Level 1 PRT Question Paper (5-Jul-2026)
The correct answer is

Constant \(8 \, m/s^2\)

Differentiating the displacement equation \(s = 4t^2 + 2t\) once gives velocity \(v = 8t + 2\), and differentiating again gives acceleration \(a = 8 \, m/s^2\), which does not depend on time. Hence the body moves with a constant acceleration of 8 m/s2.

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