Results

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.

This unit is about how things move along a straight line or, more scientifically, how things move in one dimension. Examples of this would be the movement (motion) of cars along a straight road or of trains along straight railway tracks.

In this chapter, you will learn why it is important to identify a reference frame in order to clearly describe motion. For now, the motion you describe will be one-dimensional. Within this context, you will learn the difference between distance and displacement as well as the difference between speed and velocity. Then you will look at some graphing and problem-solving techniques.

In this lesson you will learn:

• to distinguish between distance and displacement
• to distinguish between speed and velocity
• understand acceleration
• interpret time-velocity graphs
• use equations of uniformly accelerated motion
• understand the concept of gravitational force

In this chapter, we’ll use vectors to expand our understanding of forces and motion into two dimensions. Most real-world physics problems (such as with the game of pool pictured here) are, after all, either two- or three-dimensional problems and physics is most useful when applied to real physical scenarios. We start by learning the practical skills of graphically adding and subtracting vectors (by using drawings) and analytically (with math). Once we’re able to work with two-dimensional vectors, we apply these skills to problems of projectile motion, inclined planes, and harmonic motion.

By the end of this short course, you will be able to:

• Multiply integers
• Divide integers
• Simplify expressions with integers
• Evaluate variable expressions with integers
• Translate English phrases to algebraic expressions
• Use integers in applications

• Use positive and negative numbers to represent quantities in multiple contexts.
• Explain the meaning of positive values, negative values, and zero, in multiple contexts.
• Describe the location of a point on a number line with respect to another number.
• Describe the location of a point on a number line with respect to its opposite
• Define the absolute value of a number as its distance from zero.
• Interpret inequality statements as statements about the relative position of two integers on a number line diagram.

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.

Osmosis is the movement of water across a semi-permeable membrane from an area of low solute concentration to an area of high solute concentration. Osmosis helps regulate the flow of water in and out of cells, which is crucial to their function.