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Lilit [14]
4 years ago
5

You want to calculate the displacement of an object thrown over a bridge. Using -10 m/s^2 for acceleration due to gravity, what

would be the total displacement of the object if it took 8 seconds before hitting the water? SHOW YOUR WORK!
Mathematics
1 answer:
MrRissso [65]4 years ago
5 0

<u>Answer</u>

<em>The total displacement of the object is 320 m</em>

<u>Solution-</u>

From the formulas of mechanics,

s=ut+\frac{1}{2}at^{2}

Where,

s = displacement

u = initial velocity = 0               ( ∵ As the body was in rest in the beginning )

t = time taken = 8 s

a = acceleration = -10 m/s²      ( ∵ -ve is because of the downward motion)

Putting all the values,

s= 0 \times 8 + \frac{1}{2}(-10)8^{2} = -320 \ m ( ∵ -ve displacement means it is in downwards)

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How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?
Nataliya [291]
To find the number of terms in the arithmetic sequence, we need to use the formula 
a_{n}= a_{1}+(n-1)d    
where a_{n} is the nth number, a_{1} is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21

Therefore, there are 21 terms in the arithmetic sequence given.
7 0
3 years ago
Complete the solution set for this Inequality Use one of the symbols and one of the numbers from the choice below
Whitepunk [10]

Answer:

Its 5

Step-by-step explanation:

-3 * 5 = -15 , i.e smaller than 15.

3 0
3 years ago
The new cylinder can has radius of 5cm and a height of 9cm how many square centimeters of aluminum will it take to make this new
m_a_m_a [10]

Answer: 282.85\ cm^2

Step-by-step explanation:

Given

Radius of cylinder r=5\ cm

The height of the cylinder is h=9\ cm

The surface area of a cylinder is 2\pi rh

If only the outer is considered then, the area required is

\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2

7 0
3 years ago
Write a polynomial in standard form that meets the following conditions. Assume a=1 and your function is f(x), The zeros are 5 a
jeka57 [31]

Polynomials are equations that uses variables and several terms

The polynomial in standard form is f(x) = x^2 - x -20

<h3>How to determine the polynomial</h3>

The polynomial has 2 zeros.

So, the form of the polynomial is:

f(x) = a(x - x1)(x - x2)

The zeros of the polynomial are 5 and -4.

So, the equation becomes

f(x) = a(x - 5)(x + 4)

The value of a = 1.

So, we have;

f(x) = 1(x - 5)(x + 4)

This gives

f(x) = (x - 5)(x + 4)

Expand

f(x) = x^2 - x -20

Hence, the polynomial in standard form is f(x) = x^2 - x -20

Read more about polynomials at:

brainly.com/question/2833285

7 0
2 years ago
How to draw a function with x to the power 4
Dominik [7]

Answer:

Look at the pic I attacted

Step-by-step explanation:

I used desmos

7 0
3 years ago
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