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2 years ago

Can anyone help me ?

Mathematics

1 answer:

Over [174]2 years ago

7 0

Hi! So, here’s what I know. Every triangle will equal to 180*. So to check if that triangles is 180 we add all angles and it should add up to 180*.

Now the question is, Why it shows that the angles of a triangle equal to 180* when added up?

Note that we see all angles lie on a straight line, therefore we know that when we add angles that lie on a straight line it will equal to 180*, they will also meet at the same point.

This is all I can help with. Hope it helped something!!! Have a great day!

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3 years ago

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Vlad1618 [11]

Answer:

$s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12$

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is $a(t) = 2t + 5$

Velocity:

$v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K$

In which K is the constant of integration, which is the initial velocity. So K = -3 and:

$v(t) = t^2 + 5t - 3$

Position:

$s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K$

In which K, the constant of integration, is the initial position. Since it is 12:

$s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12$

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