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zimovet [89]
3 years ago
11

A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 9, s(0) = 8, v(0) = −7

Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0
If you mean by a(t)=2t+9 is the acceleration function then we integrate...

v(t)=2t^2/2+9t+c where c is vo and we are told that that is -7 so

v(t)=t^2+9t-7 integrating again we get:

s(t)=t^3/3+9t^2/2-7t+c where c is the initial position which is 8 so

s(t)=t^3/3+9t^2/2-7t+8  which neatened up as

s(t)=(2t^3+27t^2-42t+48)/6
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raketka [301]

Answer:

I think

11cm²-5cm²=121+25

and the square root of that will give you 12.08

and that's the answer

7 0
2 years ago
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PAST DUE DATE NEED DONE NOW! NO LINKS! HELP ME FIND THE EQUATION
Soloha48 [4]

To write an equation for this line, you first need to understand how to derive it.

Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:

y = mx + b

m: The slope of the line

b: The y-intercept (The point where the line is at the y-axis)

Now that we've defined our variables, how do we go about making the actual equation? Let's start off with the slope, m.

The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially \frac{rise}{run}

Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.

Therefore:

m = \frac{rise}{run}

m = \frac{22}{1}

m = 22

We now have the first variable of the equation.

y = 22x + b

What about b? As we established earlier, b is the value of coordinate y at the y-intercept. Essentially, to find b we need to know what the value of y is when the coordinate x is 0.

As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:

y = 22x + 0

y = 22x

If you'd like me to explain how I did anything, just ask!

- breezyツ

8 0
3 years ago
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In XYZ, what is the cosine ratio of X?
Wittaler [7]

Answer:

c) 12/15 = 4/5

Step-by-step explanation:

imagine we mirror the triangle up, so that Z is on top.

then you can clearly see that 6 is cos(X) times r (and r is then 7.5).

XY is sin(X)×7.5

and again, 7.5 is r (the line making the X angle).

so, the cosine ratio of X is

6 = cos(X)×7.5

cos(X) = 6/7.5 or then 12/15. or simplified 4/5.

4 0
2 years ago
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What is the least common multiple of 3 and 9
Tju [1.3M]

LCM(3, 9) = 9

because 9 = 3 × 3

5 0
3 years ago
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If the first chapter of a certain book is 28 pages long and makes up 4% of the book, how many pages does the entire book have?
Schach [20]

Answer:

700 pages

Step-by-step explanation:

I first found out how many pages were in 1% so I divided 28 by 4.  

I got 7 so I multiplied it by 100 and 700 was the answer.

Basically:

28÷4 = 7

7 x 100 = 700

I hope that kinda made sense!

8 0
3 years ago
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