Question

12 three cars motions are represented in the position vs. time graph shown below. select the appropriate information in the drop - down boxes about each car.
car
blue car
red car
green car

direction

speed change

net force

balanced
unbalanced

Explanation:

To solve this, we analyze the position - time graph for each car:

Blue Car

• Direction: In a position - time graph, the slope of the line gives the velocity. A negative slope means the object is moving in the negative direction (towards decreasing position). The blue car's graph has a negative slope, so its direction is negative (or we can say it's moving backward or in the direction of decreasing position).
• Speed Change: The slope of the blue car's graph is constant (it's a straight line). Since speed is the magnitude of velocity, and the slope (velocity) is constant, the speed change is zero (constant speed).
• Net Force: According to Newton's first law, if an object is moving at a constant velocity (speed and direction constant), the net force acting on it is zero (balanced forces).

Red Car

• Direction: The red car's graph is a vertical line. In a position - time graph, a vertical line implies that the position is not changing with time. So, the velocity is zero, and we can say the direction is "not moving" or we can consider the velocity as zero (no direction of motion).
• Speed Change: Since the position is not changing with time, the velocity is zero. And as time passes, the velocity remains zero, so the speed change is zero (constant speed of zero).
• Net Force: If an object is at rest (or moving at a constant velocity, here velocity is zero), the net force acting on it is zero (balanced forces).

Green Car

• Direction: The green car's graph has a positive slope. A positive slope in a position - time graph means the object is moving in the positive direction (towards increasing position).
• Speed Change: The slope of the green car's graph is constant (it's a straight line). So, the velocity is constant, and the speed change is zero (constant speed).
• Net Force: Since the velocity is constant (speed and direction constant), according to Newton's first law, the net force acting on the green car is zero (balanced forces).

Filling the Table

Car	Direction	Speed Change	Net Force
Red Car	Not moving (velocity = 0)	Zero (constant speed of 0)	Balanced
Green Car	Positive (or increasing position direction)	Zero (constant speed)	Balanced

If we assume the drop - down options for direction are like "Positive", "Negative", "Not moving", for speed change are "Zero (constant speed)", "Increasing", "Decreasing" and for net force are "Balanced", "Unbalanced":

• Blue Car:
• Direction: Negative
• Speed Change: Zero (constant speed)
• Net Force: Balanced
• Red Car:
• Direction: Not moving
• Speed Change: Zero (constant speed)
• Net Force: Balanced
• Green Car:
• Direction: Positive
• Speed Change: Zero (constant speed)
• Net Force: Balanced

(Note: The exact wording of the drop - down options may vary, but the above is based on the principles of position - time graphs and Newton's laws of motion.)

Answer:

To solve this, we analyze the position - time graph for each car:

Blue Car

• Direction: In a position - time graph, the slope of the line gives the velocity. A negative slope means the object is moving in the negative direction (towards decreasing position). The blue car's graph has a negative slope, so its direction is negative (or we can say it's moving backward or in the direction of decreasing position).
• Speed Change: The slope of the blue car's graph is constant (it's a straight line). Since speed is the magnitude of velocity, and the slope (velocity) is constant, the speed change is zero (constant speed).
• Net Force: According to Newton's first law, if an object is moving at a constant velocity (speed and direction constant), the net force acting on it is zero (balanced forces).

Red Car

• Direction: The red car's graph is a vertical line. In a position - time graph, a vertical line implies that the position is not changing with time. So, the velocity is zero, and we can say the direction is "not moving" or we can consider the velocity as zero (no direction of motion).
• Speed Change: Since the position is not changing with time, the velocity is zero. And as time passes, the velocity remains zero, so the speed change is zero (constant speed of zero).
• Net Force: If an object is at rest (or moving at a constant velocity, here velocity is zero), the net force acting on it is zero (balanced forces).

Green Car

• Direction: The green car's graph has a positive slope. A positive slope in a position - time graph means the object is moving in the positive direction (towards increasing position).
• Speed Change: The slope of the green car's graph is constant (it's a straight line). So, the velocity is constant, and the speed change is zero (constant speed).
• Net Force: Since the velocity is constant (speed and direction constant), according to Newton's first law, the net force acting on the green car is zero (balanced forces).

Filling the Table

Car	Direction	Speed Change	Net Force
Red Car	Not moving (velocity = 0)	Zero (constant speed of 0)	Balanced
Green Car	Positive (or increasing position direction)	Zero (constant speed)	Balanced

If we assume the drop - down options for direction are like "Positive", "Negative", "Not moving", for speed change are "Zero (constant speed)", "Increasing", "Decreasing" and for net force are "Balanced", "Unbalanced":

• Blue Car:
• Direction: Negative
• Speed Change: Zero (constant speed)
• Net Force: Balanced
• Red Car:
• Direction: Not moving
• Speed Change: Zero (constant speed)
• Net Force: Balanced
• Green Car:
• Direction: Positive
• Speed Change: Zero (constant speed)
• Net Force: Balanced

(Note: The exact wording of the drop - down options may vary, but the above is based on the principles of position - time graphs and Newton's laws of motion.)