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Orlov [11]
3 years ago
12

A car is moving with an initial velocity of 10 mph accelerates at the rate of a(t)=2.5t mph per second for 5 seconds. How fast i

s the car going when the 5 seconds are up?
Mathematics
2 answers:
Rom4ik [11]3 years ago
3 0

Answer:

The car is going up at a speed of 22.5 mph

Step-by-step explanation:

In this question, we are asked to calculate the speed of a moving car which started moving at an initial velocity for a specific period of time.

To calculate this, we use one of the basic equations of motion;

v = u + at

Where v is the final velocity, u is the initial velocity and t is the time

From the question, we can identify the parameters as follows;

v = ?

u = 10mph

a = 2.5t mph per second for 5 seconds.

Hence a here would be 2.5 * 5 = 12.5

Now, let’s put these values in the equation

v = 10 + 12.5

v = 22.5 mph

lara [203]3 years ago
3 0

Answer:

22.5 mph

Step-by-step explanation:

According to the question, a car is moving with an initial velocity of 10 mph accelerates at the rate of a(t)=2.5t mph per second for 5 seconds and we are asked to find out how fast is the car going when the 5 seconds are up?

The formula to be applied here so as to derive our answer is

v = u + at

Where v is the final velocity, u is the initial velocity,acceleration and t is the time

V = ???

U = 10

A = 2.5t ≈ 2.5 × 5 = 12.

T = 5

10 + 12.5 = 22.5 mph

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Answer:

≈ 10.63

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = P(- 1, - 1) and (x₂, y₂ ) = L(6, - 9)

d = \sqrt{(6-(-1))^2+(-9-(-1))^2}

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   = \sqrt{7^2+(-8)^2}

   = \sqrt{49+64}

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6 0
2 years ago
PLEASE HELP ME WITH Question 5
kozerog [31]
There are many ways to solve number 5 as it is just an reduce/enlargement of equidistant fractions

The first method that came up to my mind is just dividing denominators.

For A) you can do 72 divided by 18 which would give you 4. Then you can divide the given numerator with the answer you got from dividing the denominators. This would be 8 divided by 4 which would give you two. This means that 2/18 is equal to 8/72. You can check by simplifying the fraction. Both 2/18 and 8/72 equal 9 when simplified, therefore correct.

You can use this method for b, either use a calculator because of the decimals or just remove the decimals and replace them later. Make sure when you use this method, you are always dividing the bigger number. So in B you would do 40.3 divided by 12.4
4 0
3 years ago
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kolezko [41]

Answer:

31

Step-by-step explanation:

A=2(wl+hl+hw)

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w-Width  

h-Height

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A hiker walks at a speed of 3 2/5 kilometers per hour. How many kilometers will the hiker walk in 40 minutes?
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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the quotient of 2 3/4 and 5 1/2?
Juli2301 [7.4K]

Answer:

  1/2

Step-by-step explanation:

This can be done several ways. Perhaps the easiest is to use the decimal equivalents:

  (2 3/4)/(5 1/2) = 2.75/5.5 = 0.5

__

If you want to use the numbers given, the usual procedure is to convert them to improper fractions and do the division that way:

  2 3/4 = (4·2 +3)/4 = 11/4

  5 1/2 = (2·5 +1)/2 = 11/2

Now, the problem can be written as ...

  (2 3/4) / (5 1/2) = (11/4) / (11/2)

This sort of division problem can be solved two ways:

  <u>invert and multiply</u> (the denominator is inverted)

  = (11/4) × (2/11) = (11·2)/(11·4) = 2/4 = 1/2

  <u>use a common denominator</u> (for the two fractions)

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The quotient is 1/2.

_____

<em>Additional comments</em>

It is helpful in many cases to just use decimal equivalents for the calculation. To do that, you need to be familiar with the equivalents of commonly used fractions. I find it is usually sufficient to know the unit fractions in each case. Then you can multiply or add to find the others.

1/9 = 0.1...(1-digit repeat), 1/8 = 0.125, 1/7 = 0.142857...(6-digit repeat), 1/6 = 0.16...(1-digit repeat), 1/5 = 0.2, 1/4 = 0.25, 1/3 = 0.3...(1-digit repeat), 1/2 = 0.5

__

I learned the "invert and multiply" method for dividing fractions when I was in school. The Common Core math apparently also teaches the method of matching the denominators of a compound fraction. Then the result is the ratio of numerators. (A variation not taught is that you can match the numerators and use the inverse of the ratio of denominators. Both of these methods can be validated using the "invert and multiply" method. (11/4)/(11/2) = 2/4)

"Invert and multiply" is another way of saying that division is the same as multiplication by the reciprocal. This applies everywhere, not just in fraction problems.

8 0
3 years ago
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