Analyzing Position and Velocity Graphs

The video tutorial covers graphing motion practice problems, focusing on position-time and velocity-time graphs. It explains how to interpret graphs for a runner's motion, including scenarios of rest, constant velocity, and acceleration. The tutorial emphasizes understanding slopes as indicators of velocity and acceleration, and provides detailed analysis of complex motion scenarios, including negative positions and velocities.

What does a horizontal line on a position-time graph indicate about the runner's motion?

• The runner is moving backward.

• The runner is moving at a constant velocity.

• The runner is accelerating.

• The runner is at rest.

If a runner's position-time graph has a line with a positive slope, what does this tell us about her motion?

• She is decelerating.

• She is moving forward at a constant velocity.

• She is accelerating.

• She is moving backward.

How is positive acceleration represented on a position-time graph?

• A horizontal line

• A vertical line

• A line with a decreasing slope

• A line with an increasing slope

What happens to the slope of a position-time graph when a runner negatively accelerates to a stop?

• The slope becomes less steep and approaches zero.

• The slope becomes steeper.

• The slope becomes negative.

• The slope remains constant.

In a velocity-time graph, what does a horizontal line indicate about the runner's acceleration?

• The runner is decelerating.

• The runner is moving backward.

• The runner is accelerating.

• The runner has zero acceleration.

What does a negative constant velocity on a velocity-time graph indicate about the runner's direction?

• The runner is moving backward.

• The runner is at rest.

• The runner is moving forward.

• The runner is accelerating.

How is positive acceleration depicted on a velocity-time graph?

• A vertical line

• A line with a positive slope

• A line with a negative slope

• A horizontal line

What does an increasing slope on a position-time graph indicate about the runner's velocity?

• The velocity is decreasing.

• The velocity is constant.

• The runner is at rest.

• The velocity is increasing.

If a velocity-time graph shows a line with a positive slope, what does this indicate about the runner's motion?

• The runner is decelerating.

• The runner is moving at a constant velocity.

• The runner is moving backward.

• The runner is accelerating.

What does a curve on a position-time graph indicate about the runner's motion?

• The runner is at rest.

• The runner is moving at a constant velocity.

• The runner is accelerating.

• The runner is decelerating.