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
Lesechka [4]
3 years ago
8

A car is traveling at 20.0 m/s, and the driver sees a traffic light. turn red. After 0.530 s (the reaction time), the driver app

lies the brakes,. and the car decelerates at 7.00 m/s2. What is the stopping distance of the. car, as measured from the point where the driver first sees the red light?
Mathematics
1 answer:
slava [35]3 years ago
5 0
Before the driver applies the brakes ( with the reaction time ):
d 1 = v0 · t = 20 m/s · 0.53 s = 10.6 m
After that: 
v = v0 - a · t1  
0 = 20 m/s - 7 · t1
7 · t1 = 20
t1 = 2.86 s
d 2 = v 0 · t1 - a · t1² / 2
d 2 = 20 m/s · 2.86 s - 7 m/s² · (2.86 s)²/2 = 57.2 m - 28.6 m = 28.6 m
d = d 1 + d 2 = 10.6 m + 28.6 m = 39.2 m
Answer: the stopping distance of a car is 39.2 m.
You might be interested in
what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2
Vesnalui [34]

Answer:

Rate of change for the linear relationship modeled is \dfrac{-1}{2}

Step-by-step explanation:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

m=\dfrac{y_2-y_1}{x_2-x_1}

Putting the points as (-1, 10) and (1, 9), we get

m=\dfrac{9-10}{1-(-1)}

=\dfrac{9-10}{1+1}

=\dfrac{-1}{2}

Rate of change is the slope of the line joining all these points.

7 0
3 years ago
Read 2 more answers
P + (-q) -3 when p= -6 and q=7
DochEvi [55]
Remember, -(-x)=x because the negatives cancel out

so
when p=-6 and q=7

p+(-q)-3
-6+(-7)-3
-6-7-3
-13-3
-16
5 0
3 years ago
Mr. Peters needs to build a rectangular pig pin 14 4/5 meters long and 5 1/5 meters wide
Amiraneli [1.4K]

Hope this us helpful

3 0
3 years ago
Katie says ‘when you half a whole number that ends in 6, you always get a number that ends in 3.’ Write down an example to prove
mart [117]

Answer:

if you half 16 you get 8 not 3

6 0
3 years ago
A student solves the following equation and
Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}

\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}

\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)

\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)

\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)

as

  • \frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)
  • -\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a
  • \frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2

so equation becomes

3\left(a-2\right)-6a=a+2  

-3a-6=a+2

-3a-6+6=a+2+6

-4a=8

\mathrm{Divide\:both\:sides\:by\:}-4

\frac{-4a}{-4}=\frac{8}{-4}

a=-2

\mathrm{Verify\:Solutions}

\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}

\mathrm{Solve\:}\:a+2=0:\quad a=-2

\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2

\mathrm{Solve\:}\:a-2=0:\quad a=2

So the following points are undefined

a=-2,\:a=2

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0
3 years ago
Other questions:
  • How can you graph m(x)=5x and then compare it to f(x)=x?
    15·1 answer
  • -10.7+-3.5 <br> I don’t understand yes I know I am dumb :D
    7·2 answers
  • What is the approximate area of the circle? Use A. 17.6 square inches B. 24.6 square inches C. 35.2 square inches D. 98.5 square
    6·1 answer
  • What is 42-27x5 what is the answer
    11·1 answer
  • Lin has a scale model of a modern train. The model is created at a scale of 1 to 48
    5·1 answer
  • The point a is located on the y-axis, 6 units above the x-axis. what are the coordinates of point a?
    11·1 answer
  • Help please with easy geometry
    5·2 answers
  • Which of the following expressions is in simplified form?
    10·1 answer
  • If the cube root parent function is horizontally stretched by a factor of 4, then translated 5 units right and 3 units up, write
    13·1 answer
  • Eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!