Plotting projectile displacement, acceleration, and velocity as a function of time. Created by Sal Khan.
Students observe four different classroom setups with objects in motion (using toy cars, a ball on an incline, and a dynamics cart). At the first observation of each scenario, students sketch predicted position vs. time and velocity vs. time graphs. Then the classroom scenarios are conducted again with a motion detector and accompanying tools to produce position vs. time and velocity vs. time graphs for each scenario. Students compare their predictions with the graphs generated by technology and discuss their findings. This lesson requires assorted classroom supplies, as well as motion detector technology.
Principles of Macroeconomics 2e covers the scope and sequence of most introductory economics courses. The text includes many current examples, which are handled in a politically equitable way. The outcome is a balanced approach to the theory and application of economics concepts. The second edition has been thoroughly revised to increase clarity, update data and current event impacts, and incorporate the feedback from many reviewers and adopters.Changes made in Principles of Macroeconomics 2e are described in the preface and the transition guide to help instructors transition to the second edition.
By the end of this section, you will be able to:
Analyze whether monetary policy decisions should be made more democratically
Calculate the velocity of money
Evaluate the central bank’s influence on inflation, unemployment, asset bubbles, and leverage cycles
Calculate the effects of monetary stimulus
Students watch video clips from October Sky and Harry Potter and the Sorcerer's Stone to learn about projectile motion. They explore the relationships between displacement, velocity and acceleration and calculate simple projectile motion. The objective of this activity is to articulate concepts related to force and motion through direct immersive interaction based on the theme, The Science Behind Harry Potter. Students' interest is piqued by the use of popular culture in the classroom.
Blast a Buick out of a cannon! Learn about projectile motion by firing various objects. Set the angle, initial speed, and mass. Add air resistance. Make a game out of this simulation by trying to hit a target.
Blast a Buick out of a cannon! Learn about projectile motion by firing various objects. Set the angle, initial speed, and mass. Add air resistance. Make a game out of this simulation by trying to hit a target.
Identical spheres falling from the same height with different horizontal velocities.
Predicting which spinning disc has a larger radius from angular velocity and the linear velocity of a point on the edge.
Explore forces and motion as you push household objects up and down a ramp. Lower and raise the ramp to see how the angle of inclination affects the parallel forces. Graphs show forces, energy and work.
Students learn the concept of angular momentum and its correlation to mass, velocity and radius. They experiment with rotation and an object's mass distribution. In an associated literacy activity, students use basic methods of comparative mythology to consider why spinning and weaving are common motifs in creation myths and folktales.
In this video adapted from the Encyclopedia of Physics Demonstrations, learn how plotting the changes in an object's position on a graph can provide information about the object's motion.
In this group activity, learners use some common objects and work together to simulate the Coriolis effect. During the challenge, learners make predictions and test different scenarios. This resource includes background information about the Coriolis effect and helpful hints.
Students use their understanding of projectile physics and fluid dynamics to find the water pressure in water guns. By measuring the range of the water jets, they are able to calculate the theoretical pressure. Students create graphs to analyze how the predicted pressure relates to the number of times they pump the water gun before shooting.
Students examine collisions between two skateboards with different masses to learn about conservation of momentum in collisions.
Use this hands-on activity to demonstrate rotational inertia, rotational speed, angular momentum, and velocity. Students build at least two simple spinners to conduct experiments with different mass distributions and shapes, as they strive to design and build the spinner that spins the longest.
This activity demonstrates how potential energy (PE) can be converted to kinetic energy (KE) and back again. Given a pendulum height, students calculate and predict how fast the pendulum will swing by understanding conservation of energy and using the equations for PE and KE. The equations are justified as students experimentally measure the speed of the pendulum and compare theory with reality.
This activity shows students the engineering importance of understanding the laws of mechanical energy. More specifically, it demonstrates how potential energy can be converted to kinetic energy and back again. Given a pendulum height, students calculate and predict how fast the pendulum will swing by using the equations for potential and kinetic energy. The equations will be justified as students experimentally measure the speed of the pendulum and compare theory with reality.
