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An introduction to the difference between distance traveled and displacement.

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

Use the dynamic worksheet to practice simplifying expressions with fractional exponents, rewriting them as radicals.

How to solve for the horizontal displacement when the projectile starts with a horizontal initial velocity. We also explain common mistakes people make when doing horizontally launched projectile problems.

This video explains how to solve inequalities.

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
 

Using position-time graphs and number lines to find displacement and distance traveled.

In this section, you will:

• Evaluate square roots.
• Use the product rule to simplify square roots.
• Use the quotient rule to simplify square roots.
• Add and subtract square roots.
• Rationalize denominators.
• Use rational roots.

• Predict, qualitatively, how an external force will affect the speed and direction of an object's motion.
• Explain the effects with the help of a free body diagram.
• Use free body diagrams to draw position, velocity, acceleration and force graphs and vice versa.
• Explain how the graphs relate to one another.
• Given a scenario or a graph, sketch all four graphs.