.What is ax at t = 12.0 s? answer in m/s^2 b. What is ax at t = 2.00 s? answer in m/s^2 c. which is the correct multiple chpoice answer attached? d. How far does the object travel from t = 12.0 s to t = 14.0 s? answer in m
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
a.What is ax at t = 12.0 s? answer in m/s^2
b. What is ax at t = 2.00 s? answer in m/s^2
c. which is the correct multiple chpoice answer attached?
d. How far does the object travel from t = 12.0 s to t = 14.0 s? answer in m
![**Velocity vs. Time Graph for an Object Moving Along the x-Axis**
The graph illustrates the velocity (\(v_x\)) of an object moving along the x-axis as a function of time (\(t\)). The velocity is measured in meters per second (m/s), while the time is measured in seconds (s).
- **Horizontal Axis (x-axis)**: Represents the time \(t\) in seconds (s), ranging from 0 to 14 seconds.
- **Vertical Axis (y-axis)**: Represents the velocity \(v_x\) in meters per second (m/s), ranging from 0 to 40 m/s.
**Description of Graph:**
1. **Time Interval from 0 to 6 seconds**:
- The object's velocity remains constant at 20 m/s.
2. **Time Interval from 6 to 8 seconds**:
- The object's velocity increases linearly from 20 m/s to 40 m/s.
3. **Time Interval from 8 to 10 seconds**:
- The object's velocity decreases linearly from 40 m/s to 0 m/s.
4. **Time Interval from 10 to 14 seconds**:
- The object's velocity remains constant at 0 m/s.
This graph effectively demonstrates how the object's motion varies over time along the x-axis, showing periods of constant velocity, acceleration, deceleration, and rest.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febc475b6-aa7a-4086-91fc-be1938297853%2F1475a682-40f8-427f-a439-5386a450fefd%2Fz2gb10a_processed.png&w=3840&q=75)
![### Velocity-Time Graph Interpretation
In the context of physics education, understanding the interpretation of different graphs, particularly velocity-time graphs, is crucial. Below are four graphs depicting acceleration (\( a_x \)) as a function of time (\( t \)). Each graph contains significant information about the velocity and acceleration relationship of a moving object over time.
#### Graph Descriptions
1. **First Graph:**
- **x-axis (Time, \( t \)):** Ranges from 0 to 15 seconds.
- **y-axis (Acceleration, \( a_x \)):** Ranges from -10 to 10 meters per second squared (\( \text{m/s}^2 \)).
- The acceleration varies and has distinct intervals:
- From 0 to 6 seconds: Constant acceleration at 0 \( \text{m/s}^2 \).
- From 6 to 12 seconds: Constant acceleration at 5 \( \text{m/s}^2 \).
- From 12 to 15 seconds: Constant acceleration at 0 \( \text{m/s}^2 \).
2. **Second Graph:**
- **x-axis (Time, \( t \)):** Ranges from 0 to 15 seconds.
- **y-axis (Acceleration, \( a_x \)):** Ranges from -10 to 10 meters per second squared (\( \text{m/s}^2 \)).
- The acceleration varies and has distinct intervals:
- From 0 to 3 seconds: Constant acceleration at 5 \( \text{m/s}^2 \).
- From 3 to 9 seconds: Constant acceleration at 0 \( \text{m/s}^2 \).
- From 9 to 15 seconds: Constant acceleration at -5 \( \text{m/s}^2 \).
3. **Third Graph:**
- **x-axis (Time, \( t \)):** Ranges from 0 to 15 seconds.
- **y-axis (Acceleration, \( a_x \)):** Ranges from -10 to 10 meters per second squared (\( \text{m/s}^2 \)).
- The acceleration varies and has distinct intervals:
- From 0 to 3 seconds: Constant acceleration at -5 \( \text{m/s}^2 \).
- From 3 to 6 seconds: Constant](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febc475b6-aa7a-4086-91fc-be1938297853%2F1475a682-40f8-427f-a439-5386a450fefd%2Fxt6nwbj_processed.png&w=3840&q=75)
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