Interpreting Distance-Time Graphs and Calculating Speed

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

• To calculate the temperature change

• To visualize how far something has traveled over time

• To measure the weight of an object

• To determine the color of an object

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

• The direction of travel

• The distance traveled

• The time taken

• The speed of the object

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

• By adding the change in distance and the change in time

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

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

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

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

• Stationary

• Acceleration

• Constant speed

• Deceleration

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

• Increasing speed

• Constant speed

• Stationary

• Decreasing speed

If a cyclist travels 20 meters in 2 seconds, what is her speed?

• 10 meters per second

• 15 meters per second

• 5 meters per second

• 20 meters per second

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What does a decreasing gradient on a distance-time graph indicate?

• Stationary

• Deceleration

• Constant speed

• Acceleration

How do you find the speed at a specific point on a curved line in a distance-time graph?

• By finding the midpoint of the curve

• By calculating the area under the curve

• By measuring the length of the curve

• By drawing a tangent to the curve at that point

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

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

• A line that is perpendicular to the curve

• A line that intersects the curve at multiple points

• A line that is parallel to the curve

What should you do if you want to calculate the speed at a point on a curve?

• Draw a perpendicular line to the curve

• Draw a tangent to the curve

• Calculate the area under the curve

• Measure the length of the curve