Decoding Distance-Time Graphs in Motion Analysis

The video tutorial explains how to interpret distance-time graphs, which visualize the distance traveled over time. It covers the significance of the gradient in determining speed, the meaning of straight, flat, and curved lines, and how to calculate speed at specific points using tangents. The video concludes with a summary of these concepts.

What is the primary purpose of a distance-time graph?

• To visualize how far something has traveled over time

• To compare different journeys

• To calculate the total distance traveled

• To determine the exact speed at every point

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

• The total distance traveled

• The acceleration of the object

• The time taken for the journey

• The speed of the object

How is constant speed represented on a distance-time graph?

• By a flat line

• By a steep line

• By a straight line

• By a curved line

What does a flat line on a distance-time graph indicate?

• The object is accelerating

• The object is decelerating

• The object is stationary

• The object is moving at constant speed

What does a steeper line on a distance-time graph signify?

• Constant speed

• Stationary phase

• Deceleration

• Acceleration

How can you find the speed at a specific point on a curve in a distance-time graph?

• By finding the midpoint of the curve

• By calculating the area under the curve

• By drawing a tangent to the curve

• By measuring the total distance

What is a tangent in the context of a distance-time graph?

• A line that intersects the curve at two points

• A line that is parallel to the curve

• A straight line that has the same gradient as the curve at the point of contact

• A line that is perpendicular to the curve

What is the formula for calculating speed using a distance-time graph?

• Speed = Distance + Time

• Speed = Time / Distance

• Speed = Distance / Time

• Speed = Distance x Time

What do curved lines on a distance-time graph represent?

• Stationary phase

• Constant speed

• Changing speeds

• Uniform acceleration

If a point lies on a straight line in a distance-time graph, how do you calculate the speed?

• By dividing the change in distance by the change in time

• By measuring the area under the line

• By finding the midpoint of the line

• By drawing a tangent