You drop a soccer ball from your third-story balcony. Use the particle model to draw a motion diagram showing the ball’s position and average velocity vectors from the time you release the ball until the instant it touches the ground.

a) Write a paragraph describing the particle model. What is it, and why is it important?

b) Give two examples of situations, different from those described in the text, for which the particle model is appropriate.

c) Give an example of a situation, different from those described in the text, for which it would be inappropriate.

You’re driving along the highway at 60 mph until you enter a town where the speed limit is 30 mph. You slow quickly, but not instantly, to 30 mph. Draw a basic motion diagram of your car, using images from the movie, from 30 s before reaching the city limit until 30 s afterward.

A rocket is launched straight up. Draw a basic motion diagram, using the images from the movie, from the moment of liftoff until the rocket is at an altitude of 500 m.

A car skids to a halt to avoid hitting an object in the road. Draw a basic motion diagram, using the images from the movie, from the time the skid begins until the car is stopped.

Determine the signs (positive or negative) of the position, velocity, and acceleration for the particle in Figure Q1.8.

Determine the signs (positive or negative) of the position, velocity, and acceleration for the particle in Figure Q1.7.

Determine the signs (positive or negative) of the position, velocity, and acceleration for the particle in Figure Q1.6.

Does the object represented in Figure Q1.5 have a positive or negative value of ? Explain.

Figure Q1.5

Does the object represented in Figure Q1.4 have a positive or negative value of ? Explain.

Figure Q1.4