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The distance d (in inches) that a beetle travels over time + (inseconds) is given by the function d (t) = 2t^3 . Find the averagespeed of the beetle from t1 = 0 second to t2 = 2 seconds.inches/second

The distance d in inches that a beetle travels over time inseconds is given by the function d t 2t3 Find the averagespeed of the beetle from t1 0 second to t2 2 class=

Respuesta :

Given distance,

[tex]d(t)=2t^3[/tex]

Let v is the speed of the beetle.

It is given by

[tex]v=\frac{d(t)}{t}[/tex]

Now,

[tex]\begin{gathered} v=\frac{2t^3}{t} \\ v=2t^2 \end{gathered}[/tex]

At t = 0 sec.

[tex]\begin{gathered} v=2t^2 \\ v=2\times0 \\ v=0 \end{gathered}[/tex]

At t = 2 sec.

[tex]\begin{gathered} v=2t^2 \\ v=2\times2^2 \\ v=8\text{ m/sec} \end{gathered}[/tex]

So, the average speed of the beetle is 8 m/sec.

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