Answer:
The acceleration of the object measured in [tex]\frac{m}{s^{2}}[/tex], as a function of time is equal to:
[tex]a = 18\cdot t[/tex]
Explanation:
The acceleration function is obtained by deriving position function twice:
[tex]a = \frac{dv}{dt} = \frac{d^{2}x}{dt^{2}}[/tex]
[tex]x = 3\cdot t^{3}[/tex]
[tex]v = 9 \cdot t^{2}[/tex]
[tex]a = 18\cdot t[/tex]
The acceleration of the object, measured in [tex]\frac{m}{s^{2}}[/tex], as a function of time is equal to:
[tex]a = 18\cdot t[/tex]
