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
What number is 5% of 90?
BARSIC [14]
The answer would be 4.5 because 5% of 90= 4.5.

Hope this helped! :)
4 0
3 years ago
Read 2 more answers
What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?
yKpoI14uk [10]
a_1=8
a_2=a_1+d=8+d
a_3=a_2+d=(8+d)+d=8+2d
a_4=a_3+d=(8+d)+2d=8+3d
...
a_9=8+8d=48\implies d=5
a_{10}=8+9d
...
a_{23}=8+22d=118
8 0
3 years ago
Read 2 more answers
Find the measure of angle A (please help!!!)
mel-nik [20]

Answer: 41 degrees

Step-by-step explanation:

so, we know that a triangle is 180 degrees. since we know that one angle is 80 degrees, we can subtract that from the equation. now, we are trying to find what X is so that we can find the angle. here is how i did it:

i rewrote it and removed the parentheses.

4x + 1 + 4x + 19 = 100

then, i collected like terms and calculated it.

8x + 20 = 100

then, i moved the constant to the right.

8x = 100 - 20

then, i simply calculated it.

8x = 10

solution: x = 10

so, we just insert X into the angle for A. that gets us 4(10) + 1 = angle A

40 + 1 = angle A, hence angle A = 41 degrees.

7 0
3 years ago
Rewrite the following linear equation in slope-intercept form. y+4=-2(x-1)
romanna [79]

Answer:

y = -2x - 1

Step-by-step explanation:

Rewrite y + 7 = -2(x - 3) in slope-intercept form (which is y = mx + b):

First, perform the indicated multiplication:

y + 7 = -2x + 6

Combining the constants, we get

y = -2x - 1

This is the desired equation in slope-intercept form.  slope is -2 and y-intercept is -1.

5 0
3 years ago
If a car travels at a speed of 25 miles an hour for t hours then travels 45 miles an hour What does the expression D + 1.5 repre
solmaris [256]
Kdkshdjdkskssksksksjsj sksksksksksjsjnszjjxjddjdjdjdjndjdd dnjdjejejsjss sksksksksksjsjnszjjxjddjdjdjdjndjdd s sjsjsj
3 0
3 years ago
Other questions:
  • Could someone please help me
    9·2 answers
  • Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting charges $12 plus $7 per ho
    9·2 answers
  • Write the fve-number summary for each set of data
    5·1 answer
  • What is 81 to the 1/4 power
    8·2 answers
  • Explain what is the difference between the solutions to 2x=10 and 2x > 10
    12·1 answer
  • Find the number for which 200% is b mins PLZ HELP QUICK
    15·1 answer
  • After purchasing a home for $160,00 the homeowner noticed the suggested value of her house was depreciating by 5% each year.
    6·1 answer
  • I don’t know how to do this ? Calculate the slope of the line.
    12·1 answer
  • The value of Maggie's car decreased by 20% since last year, when she bought it. If the car is now worth $20,000.00, how much was
    5·1 answer
  • Ron made 16 out of 25 baskets from the foul line. Using this data, predict the
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!