Distance Time Graphs for Accelerated Motion

The video tutorial explains how to interpret distance-time graphs for accelerated motion. It begins with a recap of constant speed graphs, where speed is represented by the gradient. The tutorial then introduces scenarios where speed is not constant, indicating acceleration. To find speed at a specific time, a tangent is drawn on the graph, and its gradient is calculated using rise over run. This method is demonstrated with an example, showing how to determine the speed of an object at a given time. The tutorial concludes with a summary of the key concepts covered.

What does a straight line on a distance-time graph indicate about the object's speed?

• The object is accelerating.

• The object is decelerating.

• The object is stationary.

• The object is moving at a constant speed.

How can you tell if an object is moving in the opposite direction on a distance-time graph?

• The line is curved.

• The line is horizontal.

• The gradient is zero.

• The gradient is negative.

What does an increasing gradient on a distance-time graph signify?

• The object is accelerating.

• The object is stationary.

• The object is moving at a constant speed.

• The object is slowing down.

What is the purpose of drawing a tangent on a distance-time graph?

• To find the total distance traveled.

• To determine the object's speed at a specific time.

• To calculate the average speed over the journey.

• To identify the starting point of the journey.

How do you calculate the gradient of a tangent on a distance-time graph?

• By adding the rise and the run.

• By dividing the rise by the run.

• By measuring the length of the tangent.

• By subtracting the run from the rise.