https://file.aiquickdraw.com/mathbot/file/17254638934434pny2y20.jpg

Let's analyze the questions step by step using the graph provided.

### Part 1: Acceleration at 1 Second
**Question:** What is the acceleration at 1 second?  
**Answer in units of m/s².**

**Solution:**
- Acceleration is given by the change in velocity over time.
- From the graph, at 1 second, the velocity changes from 0 m/s at \( t = 0 \) to 6 m/s at \( t = 2 \) seconds.
- The acceleration between \( t = 0 \) and \( t = 2 \) is \( \frac{\Delta v}{\Delta t} = \frac{6 \, \text{m/s} - 0 \, \text{m/s}}{2 \, \text{s} - 0 \, \text{s}} = 3 \, \text{m/s}^2 \).
- Since the interval between 0 and 2 seconds is uniform, the acceleration at 1 second is also \( 3 \, \text{m/s}^2 \).

### Part 2: Velocity at 2 Seconds
**Question:** What is the velocity at 2 seconds?  
**Answer in units of m/s.**

**Solution:**
- From the graph, the velocity at \( t = 2 \) seconds is 6 m/s.

### Part 3: Position at 2 Seconds
**Question:** What is the position at 2 seconds?  
**Answer in units of m.**

**Solution:**
- The position can be found by calculating the area under the velocity-time graph between 0 and 2 seconds.
- The area under the graph from 0 to 2 seconds forms a triangle.
- The area of the triangle is \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 2 \, \text{s} \times 6 \, \text{m/s} = 6 \, \text{m} \).
- The initial position is given as 10 m. Therefore, the position at 2 seconds is \( 10 \, \text{m} + 6 \, \text{m} = 16 \, \text{m} \).

### Summary of Answers:
1. **Acceleration at 1 second:** 3 m/s².
2. **Velocity at 2 seconds:** 6 m/s.
3. **Position at 2 seconds:** 16 m.

Would you like further details or have any questions? 

Here are 5 related questions to expand your understanding:

1. What is the acceleration at 4 seconds?
2. How does the velocity change between 4 and 6 seconds?
3. What is the total displacement by the end of 9 seconds?
4. Calculate the acceleration between 6 and 9 seconds.
5. What is the velocity at 7 seconds?

**Tip:** When working with velocity-time graphs, remember that the area under the curve represents the displacement.

Consider the plot below describing motion along a straight line with an initial position of 10 m. 
Part 1: What is the acceleration at 1 second? Answer in units of m/s².
Part 2: What is the velocity at 2 seconds? Answer in units of m/s.
Part 3: What is the position at 2 seconds? Answer in units of m.

Explore how to analyze motion using a velocity-time graph with an initial position of 10 m. Learn to calculate acceleration, velocity, and position at specific time intervals. This problem covers key kinematic concepts and is ideal for students in Grades 9-10.

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