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
Leni [432]
3 years ago
8

A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is th

en released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
Find a sinusoidal function for the height h(t).
For how many seconds is the height of the mass above 17 mm over one cycle?
Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Answer:

a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:

b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence

Step-by-step explanation:

You might be interested in
Pls help !!!!!!!!!!!!!!
garri49 [273]
The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
6 0
3 years ago
What is the answer? -4 + x = -26
algol13

Answer:

x = -30

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Olivia is making baggies of cookies for a bake sale. She wants to put nine cookies in each bag. She made 41 oatmeal cookies and
Rzqust [24]

Answer:

6

Step-by-step explanation:

3 0
3 years ago
the area of a trapezoid is 36 square inches. The height is 4 inches and one bases twice the length of the other base. What are t
vlada-n [284]
The formula for this is A= \frac{1}{2} ( b_{1} + b_{2} )h.  Filling in accordingly, 36= \frac{1}{2}(x+2x)(4).  This simplifies to 36= \frac{1}{2}(3x)(4) and 36=6x.  Therefore, x = 6 so the bases are 6 and 12.
8 0
3 years ago
Read 2 more answers
The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?
vlabodo [156]

Answer:

<h2>Therefore the length of a side of a cube is \sqrt[3]{64}\ or\ 4</h2>

Step-by-step explanation:

The volume of a cube is expressed as L³ where L is the length of each side of the cube.

Given volume of a cube = 64in³

On substituting;

64 = L³

Taking the cube root of both sides to determine L we have;

\sqrt[3]{64} = (\sqrt[3]{L})^{3}\\\sqrt[3]{64} = L\\L=4

Therefore the length of a side of a cube is \sqrt[3]{64}\ or\ 4

8 0
3 years ago
Other questions:
  • Megan paints her locker red, white, and blue.
    11·1 answer
  • Jack chooses 15 downloads for $19.75, and jim chooses 40 downloads for $43.50. What is the regristration fee, and what is the co
    5·1 answer
  • What is 5x6-9<br><br>cmonn brainliest cominn ur wayy​
    13·2 answers
  • A bag contains white marbles and red marbles, 32 in total. The number of white marbles is 7 less than 2 times the number of red
    10·1 answer
  • Share £280 in the ratio 3:4
    10·2 answers
  • A baseball team drinks 10/4 gallons of water during a game. Which mixed number represents the gallons of water consumed?
    10·2 answers
  • 3.26d+9.75d-2.65 please help​
    14·1 answer
  • A water chips system in a garden uses 2/3 cup of water every 1/6 of an hour how much water is used one hour
    12·2 answers
  • Someone help plz and plz make sure it’s right
    11·1 answer
  • The morning temperature is -15° by the afternoon the temperature rises by 20° right in addition expression for the afternoon tem
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!