Analyzing Distance-Time and Velocity-Time Graphs

The video tutorial explains how distance-time and velocity-time graphs represent an object's journey. It analyzes different time intervals to compare the stories told by each graph, focusing on speed, deceleration, rest, and acceleration. The tutorial also covers calculating the distance traveled using the area under the velocity-time graph, including methods for non-uniform acceleration.

What does the gradient of a distance-time graph represent?

• Acceleration

• Speed

• Distance

• Time

During the interval from 0 to 2 seconds, what is the speed of the object?

• 3 meters per second

• 4 meters per second

• 2 meters per second

• 1 meter per second

What is the acceleration of the object between 2 and 4 seconds?

• 1 meter per second squared

• -1 meter per second squared

• 2 meters per second squared

• 0 meters per second squared

At what speed is the object moving at 3 seconds?

• 3 meters per second

• 2 meters per second

• 0 meters per second

• 1 meter per second

What happens to the object between 4 and 6 seconds?

• It remains at rest

• It moves backward

• It decelerates

• It accelerates

How is the distance traveled calculated from a velocity-time graph?

• By calculating the slope of the graph

• By counting the number of peaks

• By finding the area under the graph

• By measuring the height of the graph

When dealing with non-uniform acceleration, how can the area under a velocity-time graph be estimated?

• By measuring the width

• By using a ruler

• By counting squares

• By drawing a straight line