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
katovenus [111]
4 years ago
12

Find a model for simple harmonic motion if the position at t = 0 is 0, the amplitude is 5 centimeters, and the period is 2 secon

ds.
Mathematics
1 answer:
lapo4ka [179]4 years ago
5 0

Answer:

f(x)=5\sin(\pi x)

This is one possibility fitting the criteria.

Step-by-step explanation:

I was thinking about using the sine curve because we have that it starts at (0,0 \cdot 5)=(0,0) and not (0,1 \cdot 5)=(0,5). The factor of 5 came from the amplitude.

So we know so far our function looks like this f(x)=5\sin(x).

However the inside will be effected since the period is 2.

g(x)=\sin(x) has a period of 2\pi.

h(x)=\sin(bx) has a period of \frac{2\pi}{b}.

We want f(x)=5\sin(bx) to have a period of 2 so we want to solve \frac{2\pi}{b}=2.

So multiply both sides by b:

2\pi=2b

Divide both sides by 2:

\frac{2\pi}{2}=b

\pi=b.

So the function we have from the given information is:

f(x)=5\sin(\pi x)

You might be interested in
9x^2(y^5)/3xy^7 simplify
Ghella [55]

Answer:

( 9x^2y^5 /3  x)(y^7)

=3x^3y^12

6 0
3 years ago
An open box is made from a 40​-cm by 80​-cm piece of tin by cutting a square from each corner and folding up the edges. The area
tamaranim1 [39]

Answer:

x=2

Step-by-step explanation:

let x be the edge length of the square removed at each corner;

Hence the area of the base is:

A_b(80-2x)(40-2x)=2736\\\\3200-160x-80x+4x^2=2736\\\\\\4x^2-240x+3200=2736\\\\4x^2-240x+464=0\\\\x^2-60x+116=0

Using the quadratic equation formula, or completing the square, x, or length of a side of one of the squares is x=2 or x=58

#Given that x=58 is larger than 40cm, the side length is x=2

6 0
3 years ago
What is 10% of 10$ plz
eduard

Answer:

1 dollar

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
URGENT!! PLEASE HELP!
liberstina [14]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Miley went to the store with a $10 bill. She went to get 8 jumbo dill pickles for her family. If she spent the whole $10, what w
Vadim26 [7]

answer is 1.25

because 10 divided by 8 equals 1.25

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the best but?
    8·2 answers
  • Does this graph show a function? Explain how you know.
    10·2 answers
  • Consider two​ investments, one earning simple interest and one earning compound interest. If both start with the same initial de
    8·1 answer
  • Use the graph to answer the Exercises 36 and 37<br>​
    5·1 answer
  • The unit price of a 128 ounce jug of milk is 4.8 cents per ounce. A 64 ounce cartoon of milk has a unit price of 5.1 cents per o
    5·2 answers
  • Cuanto equivale una tonelada ​
    10·2 answers
  • P(x)=x2-1;x=-2 find wheter the following zeroes of the pollynomials are indicated towsrds them​
    5·1 answer
  • Standard Form: 3x+4y=−16
    15·1 answer
  • Each exterior angle of a regular polygon measures 20°. How many sides
    6·2 answers
  • Please help 14 math problem
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!