using features of the graph, justify whether the particles velocity and acceleration are either positive, negative, or zero

To determine whether a particle's velocity and acceleration are positive, negative, or zero using features of a graph, follow these steps:

1. **Identify the graph type**: 
   - If the graph represents **position vs. time**, then:
     - **Velocity** is the slope of the graph (i.e., how the position changes over time).
     - **Acceleration** is the rate of change of velocity, which relates to how the slope of the position-time graph changes.
   - If the graph represents **velocity vs. time**, then:
     - **Velocity** is directly given by the value of the graph at any point.
     - **Acceleration** is the slope of the velocity-time graph.

### 1. **Velocity from a Position-Time Graph:**
   - **Positive Velocity**: When the graph is sloping upward (i.e., increasing position over time).
   - **Negative Velocity**: When the graph is sloping downward (i.e., decreasing position over time).
   - **Zero Velocity**: When the graph is flat (horizontal), indicating no change in position over time.

### 2. **Acceleration from a Position-Time Graph:**
   - **Positive Acceleration**: When the slope (velocity) is increasing, meaning the graph is getting steeper upwards.
   - **Negative Acceleration**: When the slope (velocity) is decreasing, meaning the graph is becoming flatter or turning downward.
   - **Zero Acceleration**: When the slope of the graph remains constant (the velocity does not change over time).

### 3. **Velocity from a Velocity-Time Graph:**
   - **Positive Velocity**: When the graph is above the time axis (positive values of velocity).
   - **Negative Velocity**: When the graph is below the time axis (negative values of velocity).
   - **Zero Velocity**: When the graph touches the time axis (velocity is 0).

### 4. **Acceleration from a Velocity-Time Graph:**
   - **Positive Acceleration**: When the graph is sloping upwards (velocity is increasing over time).
   - **Negative Acceleration**: When the graph is sloping downwards (velocity

Using features of the graph, justify whether the particle's velocity and acceleration are either positive, negative, or zero.

Learn how to determine whether a particle's velocity and acceleration are positive, negative, or zero by analyzing position-time and velocity-time graphs. This guide covers key kinematic concepts, including the slope of curves and the relationship between velocity and acceleration. Suitable for students in Grades 11-12.

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