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Year 11 (2026) Maths Advanced (2026) Calculus

Instantaneous Acceleration

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Questions
Question 1
12624

An object moves in a straight line with a velocity given by; \(v(t) = 4{t^3} - 2{t^2}{\rm{ m}}{{\rm{s}}^{ - 1}}\), where \(t\) is in seconds,\(t \ge 0\).

The instantaneous acceleration after 2 seconds is?

\(40\,{\rm{ m}}{{\rm{s}}^{ - 2}}\)

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