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Karo-lina-s [1.5K]
3 years ago
15

A car is traveling at when the driver sees an accident m ahead and slams on the brakes. What constant deceleration is required t

o stop the car in time to avoid a pileup?
Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

Answer:

Deceleration = \frac{v^2}{2a} units/sec^2

Step-by-step explanation:

Given that a car is traveling at when the driver sees an accident m ahead and slams on the brakes.

i.e. if he is coming with speed v units/sec say, he has to make his velocity 0.

Distance travelled = m units

Initial velocity = v

Final velocity =0

Use the third formula as

v^2=u^2+2as\\0=v^2+2am\\a =\frac{-v^2}{2a}

So he has to apply an acceleration of \frac{-v^2}{2a} units/sec^2 to stop the car in time to avoid a pile up.

Deceleration = \frac{v^2}{2a} units/sec^2

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It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petro
Simora [160]

The question is incomplete. Here is the complete question

It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petrol was saved by the end of year 2007 (I) find a fraction of the quantity of diesel saved to the quantity of petrol saved (ii) find the quantity of cng to the quantity of diesel saved

Answer:

(I) 11/70

(II) 1/10

Step-by-step explanation:

Metro trains contain 330,000 tons of CNG

3300 tons of diesel was saved

21000 tons of petrol was saved at the end of 2007

(I) The fraction of the quantity of diesel saved to the quantity of petrol saved can be calculated as follows

= 3300/21000

= 11/70

(II) The fraction of the quantity of CNG saved to the quantity of diesel can be calculated as follows

= 3300/33000

= 1/10

5 0
3 years ago
Plz help ill give you brainlist
Sloan [31]
The constant is 3 because it has no variable. 
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7 0
4 years ago
Can someone please write this as a single logarithm and show work please and thank you
Mazyrski [523]

Answer:  

log_b(w^3y^4)

Step-by-step explanation:

To write the expression as a single logarithm, or condense it, use the properties of logarithms.  

1) The power property of logarithms states that log_ax^r = rlog_ax. In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.  

So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

3log_bw+4log_by\\=log_bw^3+log_by^4

2) The product property of logarithms states that log_axy = log_ax+log_ay. In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of w^3 and y^4. Apply the property as seen below and find the final answer.  

log_bw^3+log_by^4\\=log_b(w^3y^4)

So, the answer is log_b(w^3y^4).

4 0
3 years ago
Are the length of a side of a square and the area of the square related proportionally? Why or why not?
Sliva [168]

Answer:

Yes, the length of a side of a square and the perimeter of the square are related proportionally.

Step-by-step explanation:

4 0
3 years ago
In the picture below a speaker is emitting a sound toward a solid barrier with a gap in it. Diagram and label the two types of w
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Answer: sound waves and mechanical waves or mechanical energy

Step-by-step explanation:

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