Answer:
[tex]v = t (5t^{3} - 24)[/tex]
Step-by-step explanation:
We are given an expression to solve for the displacement (x), so in order to find velocity (v), we need to differentiate the function.
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Solving :
⇒ [tex]\frac{dx}{dt} = \frac{d}{dx} (t^{5} - 12t^{2} + 9)[/tex]
⇒ [tex]v = (5)t^{5-1} - (2)12t^{2-1} + 0[/tex]
⇒ [tex]v = 5t^{4} - 24t[/tex]
⇒ [tex]v = t (5t^{3} - 24)[/tex]
Using this equation, we can find the velocity if a value of t is given.
