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
Contact [7]
3 years ago
7

A mass hanging from a vertical spring is in simple harmonic motion as given by the following position function, where t is measu

red in seconds and s is in inches: s(t)=−3cos(πt+π4). Determine the position of the spring at t=1.5 s. Find the velocity of the spring at t=1.5 s.
Physics
1 answer:
amid [387]3 years ago
6 0

Answer:

The position and velocity of the spring is −2.12 inches and -6.66 ft/s.

Explanation:

Given that,

The position function,

s(t)=-3\cos(\pi t+\dfrac{\pi}{4})

We need to calculate the position of the spring at t = 1.5 s

Using position function

s(t)=-3\cos(\pi t+\dfrac{\pi}{4})

Put the value of t in the function

s(1.5)=-3\cos(\pi\times1.5+\dfrac{\pi}{4})

s(1.5)=-2.12\ inches

We need to calculate the velocity of the spring

Using position function

s(t)=-3\cos(\pi t+\dfrac{\pi}{4})

On differentiating

\dfrac{ds}{dt}=3\pi\sin(\pi t+\dfrac{\pi}{4})

v(t)=3\pi\sin(\pi t+\dfrac{\pi}{4})

Put the value into the formula

v(1.5)=3\pi\sin(1.5\pi+\dfrac{\pi}{4})

v(1.5)=-6.66\ ft/sec

Hence, The position and velocity of the spring is −2.12 inches and -6.66 ft/s.

You might be interested in
Next Page
astra-53 [7]

Answer:

D. provide the most compelling evidence of cause-and-effect relationships.

Explanation:

3 0
2 years ago
When making a turn, do not have the steering wheel turned in the direction of the turn before beginning the turning maneuver.a)
RideAnS [48]

Answer:

a) True.

Explanation:

If you turn the wheel in the direction of the turn before beginning the turning maneuver then it's possible that there might be not enough space available for turning and also if you are waiting for the traffic to get clear with rear  ended then it will get pushed forward onto the coming traffic.

7 0
3 years ago
If an object 18 millimeters high is placed 12 millimeters from a diverging lens and the image is formed 4 millimeters in front o
andrezito [222]
The answer is

18 / x = 12 / 4 
12x = 72
x = 6mm
4 0
2 years ago
Read 2 more answers
20 miles per hour north is an example of ______
timofeeve [1]
B. It's an example of velocity due to the fact that it has a measurement of speed, divided by time, and has a specific direction. Acceleration doesn't have any direction on it, but has speed divided by time. C and D have a different mode of measurement despite of the fact that it still needs meters/miles/km.
4 0
2 years ago
What is convectional current?​.... .
fiasKO [112]

Answer:

Convection is the transfer of heat from one place to another along with the motion of the object's particles. Water is a poor conductor. However, when the bottom water is heated, it turns out that the top water is also hot. This means that there is another way of transferring heat to the water, namely convection.

8 0
2 years ago
Other questions:
  • A 2 ft x 2 ft x 2 ft box weighs 100 pounds, and the weight is evenly distributed. What is the magnitude of the minimum horizonta
    9·2 answers
  • The more you stretch a rubber band, the more you can feel it pulling back on your fingers. Which of Newton's laws BEST explains
    7·2 answers
  • What is the electric power used by an appliance if the current is 2 A and the voltage is 50 volts? Show work and include all uni
    11·1 answer
  • Why do the noble gases and some other elements on the right side of the periodic table occur as gases instead of solids as do th
    12·1 answer
  • Your favorite taco stand is 800 m away, and closes in 15 minutes. How fast do you have to run to make it on
    11·2 answers
  • Steven carefully places a ????=1.95 kgm wooden block on a frictionless ramp so that the block begins to slide down the ramp from
    11·1 answer
  • An elf pushes a sleigh with force of 9N over a distance of 11m. How much work did the elf. Do on the sleigh
    12·1 answer
  • Which diagram is the best model for a solid?<br> Substance A<br> Substance B<br> О Substance C
    8·1 answer
  • A projectile is fired from the ground at a velocity of 30.0 m/s, 35.0 º from the horizontal. What is the maximum height the proj
    5·1 answer
  • A bowling ball accidentally falls out of the cargo bay of an airliner as it flies along in a horizontal direction. As seen from
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!