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
Vadim26 [7]
1 year ago
7

A person driving her car at 12.5 m/s approaches an intersection just as the traffic light turns yellow. She knows that the yello

w light lasts only 2.0 s before turning red, and she is 28 m away from the beginning of the intersection, which is 15 m wide, as shown below. Using the gas pedal she can accelerate at 3.5 m/s2 and using the brake pedal she can accelerate at –5.8 m/s2. Ignoring reaction time and car length, determine whether she should try to stop or speed up to be a legal driver.
Mathematics
1 answer:
Tems11 [23]1 year ago
8 0

She should try to stop the car.

We will discuss the possibilities of trying to stop and trying to speed up in 2s and find the distance she travels to get into a conclusion.

If she try to stop, then the acceleration, a = -5.8 m/s²

Initial velocity, v₀ = 12.5 m/s

Final velocity, v₁ = 0 m/s   [Since the car is stopped]

Let d be the distance the car travels before stopping.

Then, we have, v₁² = v₀² + 2ad

Therefore, d = v₁²-v₀²/2a

                     =  0-(12.5)²/2 x (-5.8)

                     = 156.25/11.6

                     = 13.47 m

So she can stop in time as she is 28m far from the beginning of the intersection.

If she try to speed up, then the acceleration of the car, a = 3.5 m/s²

Initial velocity of the car, v₀ = 12.5 m/s

Time she have, t = 2 s

Let d be the distance the car travels in 2 s.

Then, d = v₀t +(1/2)at²

            = 12.5 x 2 + (1/2) x 3.5 x 2²

            = 25 + 7

            = 32 m

She is 28 m before the beginning of the intersection which is 15 m wide. So if she speed up she will be in the middle of the intersection when the light turns red and may have to stop.

Hence as a legal driver, she should try to stop the car.

Learn more about acceleration at brainly.com/question/605631

#SPJ1

You might be interested in
Solve the system of equations using >>the Substitution Method<<
dolphi86 [110]
HELLO...!!!

\begin{cases}&y=2x+4\\&3x+y=9\end{cases}


\underline{\textbf{Add\ "y"\ in\ Eq.\ 2:}}\\ \\3x+2x+4=9\\ \\5x+4=9\\ \\5x=9-4\\ \\5x=5\\ \\x= \dfrac{5}{5}\\ \\x=1\quad\checkmark\\ \\ \\\underline{\textbf{Add\ "x"\ in\ Eq.\ 1:}}\\ \\y=2(1)+4\\ \\y=2+4\\ \\y=6\quad\checkmark\\ \\ \\\mathbb{ANSWER:}\Longrightarrow\boxed{\boxed{\boldsymbol{x=1\ ;\ y=6}}}\\ \\ \\\textbf{HOPE\ THIS\ HELPS...!!}
6 0
3 years ago
In a surey of 375 dog and cat owners there were 215 dog owners and 193 cat owners. how many in the survey own a dog
spin [16.1K]
Percent wise, 57.3% own a dog
3 0
3 years ago
Read 2 more answers
If a container contains 18,000 ounces (oz) of beans, about how many pounds (lb) does it contain? [1 pound = 16 ounces] 70 lb 1,1
Margarita [4]

Answer:

The answer is B. 1,125

Step-by-step explanation:


8 0
2 years ago
Read 2 more answers
Describe the solution of g(x) shown in the graph.
Ugo [173]

Answer:

All real solutions

Step-by-step explanation:

  • The given graph is a maximum quadratic function.
  • The solution to the graph is where the graph intersects the x-axis.
  • We can see from the graph that, the function intersected the x-axis at two different points, hence its discriminant is greater than zero.
  • Hence the solution of g(x) are two distinct real solutions.
  • The solutions are not whole numbers because the x-intercepts are not exact.
  • The solutions are also not all points that lie on g(x)
  • The first choice is correct.
3 0
2 years ago
Find the perimeter of the figure. *<br> 5.7 m<br> 6.2 m<br> 8.1 m
vichka [17]

Answer:

20

Step-by-step explanation:

When looking for the perimeter just add all the numbers together.

5 0
3 years ago
Read 2 more answers
Other questions:
  • A class of 32 consists of students who either have red or yellow shirts if there are 12 more people with red shirts than there a
    12·1 answer
  • Divide.
    6·1 answer
  • 5. Ray wants to buy a hat that costs $10 and some shirts that cost $12 each.
    12·1 answer
  • The third, fifth and eighth terms of an AP are the first 3 consecutive terms of a GP. Given that the first term of the AP is 8,
    14·1 answer
  • -7(n+7)less than or equal to35
    9·2 answers
  • What are the solution(s) of 3x2 + 13x + 14 = 0? Select the two correct two answers.
    7·1 answer
  • Keep help me this is confusing. which equation is graphed on the line?
    11·2 answers
  • How do u write 92,542  in expanded form
    8·2 answers
  • Mr. and Mrs. Smith plan to roof the cabin on
    10·1 answer
  • Mickey has 1/5 of a bag of dog food left. He is splitting the food between 3 dogs. What fraction of the bag will the dogs get if
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!