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Listed under:  Speed

### EagleCat: motion graphs

Investigate distance–time and velocity–time graphs by changing position, speed and acceleration.

### The Metrix: decimals: rate 1

Measure the rate of speed required for the Metrix spacecraft to escape the Earth’s orbit. Use the metric measurement table to help you make unit conversions involving decimal numbers. This learning object is one in a series of 26 objects.

### The Metrix: decimals: rate 2

Measure the air pressure required to destroy an alien attacking the Metrix spacecraft, by converting between units of volume and time. Use the metric measurement table to help you make unit conversions involving decimals. This learning object is one in a series of 26 objects.

### The Metrix: decimals: rate 3

Match the speed of the Metrix spacecraft to an asteroid's speed by converting between units of length and rates of time. Use the metric measurement table to help you make unit conversions involving decimals. This learning object is one in a series of 26 objects.

### Triathlon: elite triathletes

Compile a news article reporting results of a major triathlon. Compare graphs of four triathletes' performance (distance against time) for the swimming, running and cycling legs of the course. Interpret the graphs to answer questions about each of the race legs and the overall performance of the four triathletes. Insert ...

### Triathlon: the course

Compile a news article reporting results of a major triathlon. Look closely at graphs of a triathlete's performance (distance against time and distance against altitude) for the cycling leg of a course. Interpret the graphs to answer questions about the triathlete's peformance and the altitude of the course. Insert your ...

### Give me a brake

Investigate braking efficiency of cars and trucks by testing stopping distances under controlled conditions. Test effects of vehicle type, tyres, road surface and weather conditions. Choose driving speed, then apply brakes and compare stopping distances. Estimate distances from target markers. Answer questions about antilock ...

### Triathlon: distance-time graphs

Watch triathletes performing in swimming, cycling and running legs of a triathlon. See how distance-time graphs are used to represent and compare race performances. Examine axis units, scales and gradients to compare course and performance variables. For example, notice that a flat line on a graph shows that an athlete ...

### Triathlon: triathlete

Compile a news article reporting results of a major triathlon. Look closely at graphs of a triathlete's performance (distance against time) for the swimming, running and cycling legs of the course. Interpret the graphs to answer questions about each of the race legs and the overall performance of the triathlete. Insert ...

### Differential calculus: linear graphs

Observe the linear distance–time graph of a rocket travelling at a constant velocity. Calculate the average and instantaneous velocity of the rocket over different time intervals. Notice how as each time interval becomes smaller the rocket's average velocity is equivalent to its instantaneous velocity. Work out how the ...

### Differential calculus: non-linear graphs

Observe the non-linear distance–time graph of a rocket travelling at a changing velocity. Calculate the average and instantaneous velocity of the rocket over different time intervals. Notice how as each time interval becomes smaller, the rocket's average velocity approaches its instantaneous velocity. Use the slider to ...

### Differential calculus: the derivative

Observe the non-linear distance–time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formula s(t) = t². Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results and look for ...

### Differential calculus: cubic function

Observe the non-linear distance–time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formula s(t) = t³ – 2. Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results and look ...

### Differential calculus: quartic function

Observe the non-linear distance–time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formula s(t) = t⁴ + t². Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results and look ...

### Differential calculus: linear and non-linear graphs

Observe the linear and non-linear distance–time graphs of a rocket travelling at both constant and changing velocities. Calculate the average and instantaneous velocities of the rocket over different time intervals. Notice what happens to the average and instantaneous velocities as the time intervals become smaller. Work ...

### Differential calculus: derivatives and power functions

Observe the non-linear distance-time graph of a rocket travelling at a changing velocity. Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results and derive a formula for finding the instantaneous velocity at a given point. In the second activity, observe ...

### Differential calculus: cubic and quartic functions

Observe the non-linear time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formulas: s(t) = t³ – 2 and s(t) = t⁴ + t². Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results ...

### Triathlon: assessment

Test your understanding of distance–time graphs. For example, look closely at graphs of a triathlete's performance (distance against time) for the swimming, running and cycling legs of a triathlon. Interpret the graphs to answer questions about each of the race legs and the overall performance of that triathlete. Compare ...

### Circular motion

This collection includes six digital curriculum resources that develop the theoretical and practical aspects of circular motion. Video sequences illustrate the fundamental kinematic principles of circular motion. Reference web pages and learning objects provide background material on the mathematical techniques required, ...

### Constant acceleration

This collection includes seven digital curriculum resources that develop the theoretical aspects of kinematics and equations of motion. Video sequences illustrate fundamental principles while reference web pages and learning objects provide background material on the mathematical techniques required, including calculus ...