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Listed under:  Science  >  Forces and energy  >  Mechanical energy  >  Motion  >  Speed
Interactive resource

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 ...

Interactive resource

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 ...

Interactive resource

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 ...

Interactive resource

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 ...

Interactive resource

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 ...

Interactive resource

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 ...

Interactive resource

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 ...

Interactive resource

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 ...

Assessment resource

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 ...

Collection

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, ...

Collection

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 ...

Collection

Simple harmonic motion

This collection of six digital curriculum resources includes resources that develop the theoretical and practical aspects of simple harmonic motion (SHM). Video sequences illustrate the fundamental kinematic principles of SHM and reference web pages provide background material on the mathematical techniques required, including ...

Interactive resource

Constant acceleration

Learn to use your knowledge of graphs and calculus to analyse the way things move. Follow the derivation of equations to describe the position, velocity and acceleration of a moving object. Deal conceptually with both positive and negative accelerations. This resource consists of a video in three sections with animations ...

Interactive resource

Projectiles

Learn to analyse the motion of an object that is projected into the air. Look at the vertical and horizontal components of the motion. Discover how the range of a projectile depends on the angle of projection. This resource consists of a video in five sections with a supporting web page containing background material.

Interactive resource

Circular motion

Learn to use your knowledge of calculus and vectors to analyse circular motion. Follow the derivation of equations to describe angular velocity and centripetal acceleration. Discover how fast a vehicle has to travel over a hill to lose contact with the road. This resource consists of a video in four sections with a supporting ...

Interactive resource

Simple harmonic motion

Use your knowledge of calculus and circular motion to analyse back-and-forth motion. Discover how the position, velocity and acceleration vary, but are closely related. Learn how to apply the theory to vibrating objects such as pendulums and loudspeakers. This resource consists of a video in four sections with a supporting ...

Video

Pilot sets speed record, 1911 - asset 1

This is an excerpt from a 1945 Movietone News compilation of old footage of early flights. The excerpt shows silent black-and-white newsreel footage that begins with a newspaper article entitled 'SPLENDID FLIGHTS BY MR HART AT PENRITH' and with the intertitle '1911. W.E. Hart, Australia's First Pilot, Speeds 40 miles [about ...

Video

Pilot sets speed record, 1911 - asset 2

This is an excerpt from a 1945 Movietone News compilation of old footage of early flights. The excerpt shows footage from a silent black-and-white newsreel about W E Hart, Australia's first pilot, who flew 40 miles (about 64 km) from Penrith to Sydney in 65 minutes in 1911. The clip starts with footage of three men climbing ...

Image

Yamaha land speed record motorcycle, 1991

This is 'The BP Bullet' motorcycle, which Australians John Vevers and Ross Deeves built in 1991 to tackle the land speed record. It is painted in the green-and-gold livery of British Petroleum (BP), as well as in white, and measures 5.6 m x 0.5 m x 0.8 m. It has a long, narrow fairing (body structure designed to produce ...

Teacher resource

Wild ride: get a grip: assessment: teacher guide

Use this resource with 'Wild ride: get a grip: assessment' (L7969). First, see a profile of that assessment object, which gives you some helpful background information. Then follow clear guidelines on the marking and interpretation of student input from that object's report. Read notes on anticipated student responses, ...