1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
serious [3.7K]
3 years ago
14

Police use the formula [math]v=2 \sqrt{5 L}[/math] to estimate the speed of a car, v, in miles per hour, based on the length, L,

in feet, of its skid marks upon sudden braking on a dry asphalt road. A motorist is involved in an accident. A police officer measures the car’s skid marks to be 45 feet long. Estimate the speed at which the motorist was traveling before braking. If the posted speed limit is 35 miles per hour and the motorist tells the officer she was not speeding, should the officer believe her? Explain
Mathematics
1 answer:
Len [333]3 years ago
8 0

Answer:

V(L=45) = 2\sqrt{5*45ft}= 2 \sqrt{225}= 2*15 =30 \frac{mi}{hr}

And if we compare this value with the speed limit of 35 mi/h then the police officer should believe that the motorist was not speeding, since his speed was lower than 35 mi/hr.

Step-by-step explanation:

Estimate the speed at which the motorist was traveling before braking

For this case we have the following formula for the spped of a car:

V= 2 \sqrt{5L}

Where L represent the length and v the velocity in miles/hr.

For this case we know that a police officer measures the car’s skid marks to be 45 feet long, so then L =45 ft, and we can finde the velocity of the car replacing L=45 ft and we got:

V(L=45) = 2\sqrt{5*45ft}= 2 \sqrt{225}= 2*15 =30 \frac{mi}{hr}

If the posted speed limit is 35 miles per hour and the motorist tells the officer she was not speeding, should the officer believe her? Explain

And if we compare this value with the speed limit of 35 mi/h then the police officer should believe that the motorist was not speeding, since his speed was lower than 35 mi/hr.

You might be interested in
consuela's living room is a rectangle with an area of 360 square feet. the width of the living room is 5/8 its length. what is t
Aleks [24]
Area of Consuela's rectangular living room = 360 square feet
Let us assume the the length of the living room = x
Then
width of the living room = (5/8) * x
                                      = (5x/8)
Then
Area of the rectangle = Length * Width
360 = x * (5x/8)
360 = 5x^2/8
2880 = 5x^2
x^2 = 2880/5
x^2 = 576
x^2 = (24)^2 inches
x = 24
Then
The length of the rectangle is = 24 inches
And 
The Width of the rectangle is = 24 * (5/8) inches
                                               = 3 * 5 inches
                                               = 15 inches

3 0
3 years ago
Read 2 more answers
Find 3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.
IceJOKER [234]
3x²-y³ - y³ - z        if x = 3, y = -2, z = -5

Simply plug in all the values :)

3(3²) - (-2³) - (-2³) - (-5)

Simplify.

3(9) + 2³ + 2³ + 5

Simplify.

27 + 8 + 8 + 5

Simplify.

35 + 13

Simplify.

48

~Hope I helped!~
4 0
3 years ago
Can someone please help me with this
Lubov Fominskaja [6]

Answer:

10) C

11) A

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measure
STALIN [3.7K]

Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be h(t) = -16\cdot t^{2} + 128\cdot t + 320, the first and second derivatives are, respectively:

First Derivative

h'(t) = -32\cdot t +128

Second Derivative

h''(t) = -32

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

-32\cdot t +128 = 0

t = \frac{128}{32}\,s

t = 4\,s (Critical value)

The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:

h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320

h(4\,s) = 576\,ft

The highest altitude that the object reaches is 576 feet.

6 0
3 years ago
Your menu size is 17"x11", one-sided. You want to leave 20% as open white space. How many square inches do you have left for the
Georgia [21]
I’m pretty sure c is supposed to be 37.4 instead of 27.4
3 0
3 years ago
Other questions:
  • Tell whether the fraction is in simplest form 25/42
    15·2 answers
  • This is the equation: g(r)=25-3r<br> g(4)=
    5·1 answer
  • I need help answering 1,2, and 3
    13·2 answers
  • If the value of b decreases, but the value of m remains the same, what will happen to the x-intercept?
    9·1 answer
  • Chau and Yoko each opened a savings account today. Chau opened his account with a starting amount of $460, and he is going to pu
    7·1 answer
  • HELP ME PLEASE IM STUCK QUICK
    8·2 answers
  • Please help me i really really really need help please please help me please
    7·1 answer
  • Ummmm HELP WILL GIVE BRAINLIEST
    13·2 answers
  • The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:
    15·1 answer
  • The haunted house has 30 zombies. If the haunted hours have a total of 150 employees, what percent are zombies?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!