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Solving a word problem to find average velocity and speed of an object in one-dimension.

In this unit you will apply your understanding of the components of motion in one dimension using linear equations. This will help you to solve problems about motion in one direction and equip you to understand how these concepts apply to everyday life.

There are three equations for linear motion with constant acceleration. They can be used to calculate, and therefore predict, the outcome of motion when three out of the four variables are known.

An introduction to the difference between distance traveled and displacement.

Using a one-dimensional number line to visualise and calculate distance and displacement.

Explore the various forces acting on a block sitting on an inclined plane. Learn how to break the force of gravity into two components - one perpendicular to the ramp and one parallel to the ramp. Finally, using geometry and trigonometry, learn how to calculate the magnitude of each component of force that is acting on the block.

This video explains how to solve inequalities.

Instantaneous speed is a measurement of how fast an object is moving at that particular moment. Instantaneous velocity is a vector quantity that includes both the speed and the direction in which the object is moving. Learn how to find an object’s instantaneous speed or velocity in three ways - by using calculus, by looking at the slope of a given point on a graph of an object’s rate vs. time, or by using kinematic formulas if the object’s acceleration is constant. 

Managing time involves accurately predicting how much time it will take to do a task, and then setting aside that amount of time to complete it. Managing time is much more difficult than it may seem, which is why there are entire courses of study and research on the best approaches. But if you develop a method to undertake each component, you’ll be successful.

Video 1: Plotting inequalities
Online activity 1: Inequalities from a graph
Online activity 2: Plotting inequalities
Video 2: Testing solutions to inequalities
Online activity 3: Testing solutions to inequalities
Video 3: Examples of one-step inequalities
Video 4: Further examples of one-step inequalities
Video 5: One-step inequality word problem
Online activity 4: One-step inequalities
Online summary and review: Online review and summary of one-step inequalities
 

You want a projectile to fly as far as possible, at which angle should you launch it? We'll start with formulas for the initial velocity.