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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.

In this video we’re going to discover how to factorise quadratics that don’t have 1 as the coefficient of the x-squared term. These are called non-monic quadratics. We can do it by trial and error and just spotting the factors, but this takes a lot of trial an error. Luckily there is a different method we can use instead, which we will looks at in this video.

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.

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. 

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.

Figuring out the horizontal displacement for a projectile launched at an angle.

Outcomes

In this course you will learn how to:

1. Solve quadratic equations by factorisation.
2. Solve quadratic equations by using the quadratic formula.
3. Solve simultaneous equations involving quadratic equations
4. Solve word problems involving quadratic equations.

By the end of this unit you will be able to:

• Solve equations with a single variable which are called linear equations
• Solve equations with a single variable that is squared (quadratic equations) by factorisation.

By the end of this unit you will be able to:

• Solve a quadratic equation by completing the square.