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
arsen [322]
3 years ago
10

The acceleration y, in meters per second squared, of an object after x seconds is given by y = 7 sin (pi/4 x). During the first

10 seconds, over which intervals is the acceleration increasing?
(2, 6)
(4, 8)
(0, 2) and (6, 10)
(0, 4) and (8, 10)
Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0

Answer: (0, 2) and (6, 10)

Step-by-step explanation:

The acceleration is:

y = 7*sin( x*pi/4).

Over which interval is the acceleration increasing?

First, let's study the sin function:

Sin(θ) increases between -pi/2 and pi/2

Sin(θ) decreases between pi/2 and (3/2)*pi.

And so on.

Here we have:

θ = x*(pi/2)

When x = 0, θ = 0.

And sin(θ) is increasing in θ = 0.

Then we must choose one of the options that start with x = 0.

now it will stop increasing when:

θ = pi/2 = x*(pi/4)

     x = 2.

So the acceleration is increasing in the segment (0,2)

And it will start increase again when:

θ = (3/2)*pi = x*(pi/4)

     (3/2)*pi*(4/pi) = 6 = x.

So at x= 6 the acceleration starts increasing again, and the acceleration is only deffined until x = 10, then

the correct option is: (0, 2) and (6, 10)

     

You might be interested in
Find the area of the triangle with the given
LekaFEV [45]

Answer:

616.2442

area to the nearest whole number=616

Step-by-step explanation:

using formula 1/2absinx

where a =44,b=29 ,x=105

1/2x44x29xsin105

44x29=1276

1276÷2=638

638 x sin 105

the sin of 105 is 0.9659

if u are using a four figure table where u can't find 105 under sin of angle

u simply subtract 105 from 180=75

638 x 0.9659 =616.2442

approx.616

6 0
3 years ago
How to interpret the meaning of a slope
Mademuasel [1]
Dam same
Step by step
6 0
3 years ago
Debbie wants to buy a new cover for her phone. She does not have enough money for the one she is considering. Debbie has $24.00
VladimirAG [237]

Answer:

30.00

Step-by-step explanation:

24=80%

12=40%

6=20%

80%+20%=100%

24+6=30

6 0
3 years ago
Read 2 more answers
I NEED HELP ASAP <br> Find The Value of X
tresset_1 [31]
30

:-))))))))))))))))
3 0
3 years ago
I want to know that how can i slove this question
Naddika [18.5K]
I'm not certain about this one...but I found a common demonitor 
7 0
3 years ago
Other questions:
  • What is the first quartile of this data set? {6, 47, 49, 15, 43, 41, 7, 36}
    7·1 answer
  • Set X: {51,49,37,28,33,39,49,42} <br><br> Set Y :{23,2934,36,39,22,25,33}
    10·1 answer
  • Juan unloads 29 bags of pine mulch from each of his fathers 2 trucks. Together, the truck holds 2,262 pounds of pine mulch. What
    11·1 answer
  • Select steps that could be used to solve the equation 1 + 3x = -x + 4.
    15·2 answers
  • 6. You can buy 3 apples at Walmart for $1.20. You can buy 5 of the same apples at Sprouts for
    7·1 answer
  • SIZE A ranch in Wyoming is
    10·1 answer
  • Ididmidifkjfjkelajlwkgkl5lgltwemigkktimgkgtmr
    9·2 answers
  • It's D, all real numbers greater than or equal to -3<br> i got %100 in the test
    12·2 answers
  • PLSSS HELPP!! ASAP this is do in 20 mins!!<br> I will give brainliest
    11·1 answer
  • Please HELP me I beg you!!!!!<br><br>NO LINKS!!!!!!!!<br><br>and THANK YOU.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!