Differentiating a Polynomial Velocity Function

00:00 3 marks

Given the velocity function $v(t) = 2t^3 – 6t^2 + 4t$, find the acceleration function $a(t)$ by differentiating $v(t)$ with respect to $t$.

Hint Hint

Hint

Remember that acceleration is the derivative of velocity. Differentiate each term of $v(t)$ using the power rule.

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Answer Answer

Complete Answer

$a(t) = 6t^2 – 12t + 4$

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