<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%3F%7D%7B%3F%7D%207" id="TexFormula1" title=" \frac{?}{?} 7" alt=" \frac{?}{?} 7"

frosja888 [35]

2 years ago

align="absmiddle" class="latex-formula">
I need help

Mathematics

1 answer:

belka [17]2 years ago

3 0

Hi, I'd be glad to help you with this equation.

The answer is (33/43)

Hope this helps.
Have a great day!

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The velocity v(t) is the integral of the acceleration a(t)

The position s(t) is the integral of the velocity v(t)

We have that:

The acceleration is:

$a(t) = 24t + 2$

Velocity:

$v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K$

K is the initial velocity, that is v(0). Since V(0) = 13, K = 13

Then

$v(t) = 12t^{2} + 2t + 13$

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$s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K$

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This is s(5).

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$s(5) = 593$

It's position at time t = 5 is 593.

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