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