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
sweet [91]
3 years ago
9

If the velocity of a car on a timed test drive on an airfield is given by the function:

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

The graph of the car's speed is a piece of an inverted parabola,
that cuts the time axis at zero and at 8 sec. 

The distance the car travels during that 8 seconds is the area
between the parabola and the time axis.  If you intend to calculate
it, then I'm afraid you're going to need to integrate the speed function.

           V = 24t - 3t²

Distance = integral of (24t - 3t²), evaluated from zero to 8 seconds.

Integral of (24t - 3t²) =

             t²/2 - 3t³/3  =  <u>12t² - t³</u>

Evaluated between zero and 8 seconds, the integral is

             12(8²) - (8)³ =

               768 - 512  =<em>  256 meters</em> .


You might be interested in
The equation for a parabola has the form y = ax^2 + bz + c, where a, b, and c are constants and aメ0. Find an equation for the pa
vova2212 [387]

Answer:

a = 2, b = -9, c = 3

Step-by-step explanation:

Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:  

(-1,14)

14 = a*(-1)^2 + b*(-1) + c  

(2,-7)

-7 = a*2^2 + b*2 + c  

(5, 8)  

8 = a*5^2 + b*5 + c  

Rearranging:

a - b + c = 14  

4*a + 2*b + c = -7

25*a + 5*b + c = 8

This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:

A =

1    -1  1

4    2  1

25  5  1

x =

a  

b

c

b =

14

-7

8

Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:

inv(A) =  

0.055555556 -0.111111111   0.055555556

-0.388888889 0.444444444   -0.055555556

0.555555556 0.555555556 -0.111111111

inv(A)*b

2

-9

3

So, a = 2, b = -9, c = 3

5 0
3 years ago
I don’t know how to find the slope
STatiana [176]

Answer:

The change in the y over the change in the x

Step-by-step explanation:

find the change in x so +4

and the change in they y so 3

3/4 and divide that

4 0
3 years ago
I need to know how to solver this coz I needy grades up
Ne4ueva [31]
Umm y = 2× + 8 ? Hard
3 0
3 years ago
Read 2 more answers
Bella is wrapping a cube-shaped gift box that measures 8.5 inches along each edge. How many square inches of wrapping paper is n
Ymorist [56]

Answer:

433.5 in²

Step-by-step explanation:

A cube has 6 sides

Area of 1 side = 8.5 x 8.5 = 72.25 in²

Area of 6 sides = 72.25 x 6 = 433.5 in²

5 0
3 years ago
Read 2 more answers
Solve for b. Express your answer as an integer or integers or in simplest radical form. -165= -3-6b^3
Fynjy0 [20]
I wanna help you but I don’t understand sorry
4 0
2 years ago
Other questions:
  • Brad jarred 12 liters
    8·2 answers
  • Sarah and her friends picked 3 3/4 pints of blueberries. After they ate some of the blueberries, only 2 1/3 pints remained.
    5·2 answers
  • Cedro collects state quarters he has 42 out of 50 available quarters what is 42 out of 50 as a percent
    5·1 answer
  • molly has two older twin brothers if you multiply all three of their ages together you get 128 how old is molly and her brothers
    7·1 answer
  • in 2 h, kelly laid new floor tile over 1/5 of the room. when she was joined by annette, the rest of the work was completed in 3h
    13·1 answer
  • Need help!!!!!!!!!!<br> N<br> e<br> E<br> d<br> H<br> e<br> L<br> P
    9·2 answers
  • NEED HELP DUE TODAY
    9·2 answers
  • Mila earns $68,000 a year as a researcher. The state income tax rate is 2.6% of taxable income. Her exemptions total $ 3,700. Ho
    5·1 answer
  • Math help, thanks for the help. i'm very great full
    11·1 answer
  • At a sports store, three times as many football as volleyballs were sold a total of 3,252 football were sold how many volleyball
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!