Finding Speed on Curved Graphs

This video tutorial explains how to find speed from a curved distance-time graph by using the gradient of a tangent line. It covers drawing a tangent to the curve, calculating the gradient, and using this to determine speed. An example calculation is provided, and the process is explained for different time points.

What is the primary method used to find speed from a distance-time graph?

• Counting the number of peaks

• Measuring the height of the graph

• Calculating the gradient

• Using the area under the curve

Why is it challenging to find the gradient on a curved distance-time graph?

• The curve is not visible

• The curve has multiple peaks

• The curve does not have a constant slope

• The curve is too steep

What is the purpose of drawing a tangent line on a curved graph?

• To measure the length of the curve

• To find the area under the curve

• To determine the highest point

• To estimate the gradient at a specific point

How do you determine the gradient of a tangent line?

• By finding the midpoint of the tangent

• By measuring the length of the tangent

• By calculating the change in Y over the change in X

• By counting the number of squares it covers

What is the change in distance if the distance at the end is 100 and at the start is 0?

• 100

• 0

• 50

• 200

How is the time scale determined on the graph?

• By interpreting the value of each square

• By counting the number of lines

• By using a stopwatch

• By measuring the width of the graph

What is the calculated speed if the change in distance is 100 and the change in time is 17.2?

• 2 meters per second

• 10 meters per second

• 5.8 meters per second

• 7.5 meters per second

What should you do to find the speed at a different time on the graph?

• Draw a new tangent at the desired time

• Count the number of peaks

• Use the same tangent for all times

• Measure the height of the graph

What is the first step in finding the speed at a specific time on a curved graph?

• Measure the height of the graph

• Draw a tangent line at that time

• Find the midpoint of the graph

• Calculate the area under the curve

What is the final step in determining speed from a tangent line?

• Convert the gradient to speed

• Draw another tangent

• Measure the length of the tangent

• Find the area under the tangent