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Nikitich [7]
3 years ago
10

Assuming the conditions regarding the motion represented in the graph remain the same, determine the acceleration of the object

at t=200 s.
What is the instantaneous acceleration at t= 10s

Mathematics
2 answers:
vovikov84 [41]3 years ago
7 0

(a)

We can see that

this is a straight line

and this is the graph of velocity

we know that

acceleration is the derivative of velocity

so, slope of curve of velocity is acceleration

so, we will find slope of this line

We can select any two points

(0,4) and (5,7)

we can use slope formula

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug points

m=\frac{7-4}{5-0}

m=0.6

we know that slope of line is always constant irrespective of any value of t

so, acceleration will always be same irrespective of any value of t

so, we will get acceleration

a(t)=0.6m/s^2............Answer

(b)

we can see that acceleration is constant

and we know that

derivative of constant is always 0

so, instantaneous rate of acceleration at t=10s is 0........Answer

Maksim231197 [3]3 years ago
7 0

Answer:

Option a

Step-by-step explanation:

Given is the graph showing the relation between time and velocity.

Velocity is shown on y axis, time on x axis.

The graph shows that relation is linear with constant slope

To find equation we see that y intercept is 4,

Two points are (0,4) and (10,10)

Slope=\frac{10-4}{10}=0.6

So equation for v is

v=0.6t+4

Now to find acceleration we can find derivative of v

For one unit change in t, v changes by 0.6 m

In other words, rate of change of velocity =

acceleration = 0.6 m/sec^2

Since acceleration is independent of t, we get

for t =10 s also

acceleration =0.6m/sec^2

OPtion a is right

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3 years ago
Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
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since you are trying to figure out how much she runs a day, u divide

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