HSC Together Year 11 Maths Advanced: Distance-Time and Velocity-Time Graphs

• Working With Functions
• Trigonometric Functions
• Calculus
• Exponential and Logarithmic Functions
• Statistical Analysis
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Distance-Time and Velocity-Time Graphs

What are distance-time and velocity-time graphs?

In this post, we interpret the meaning of the gradient of a function in a variety of contexts, for example on distance–time or velocity-time graphs, as a part of the Prelim Maths Advanced course under the topic Calculus and sub-part Difference Quotients.

A distance-time graph is a graph with distance on the y-axis and time on the x-axis, while a velocity-time graph is a graph with velocity on the y-axis and time on the x-axis. These graphs are important, as the rate of change of the distance-time graph represents the points on the velocity-time graph, as: velocity = \frac{distance}{time} .

How do I read distance-time and velocity-time graphs?

The following two videos give us insight into the nature of distance-time and velocity-time graphs and how we are able to utilise these graphs to take information out and solve problems.

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