Chapter 2: One-Dimensional Kinematics
Motion along a straight line, also called one-dimensional motion, can be represented in a number of different ways: as a formula, as a graph, as data in a table, or as an animation. All four representations are useful for problem solving.
The study of motion in one, two, or three dimensions is called kinematics. What distinguishes kinematics from the techniques which we will consider later is that, at the moment, we do not care why an object is moving the way it is. We just care that it is moving the way described. Do not think that this degrades the study of kinematics. The exact opposite is true. Kinematics is powerful precisely because it is independent of the cause of the motion. We will learn to speak using the common language for describing motion irrespective of the cause.
Table of Contents
Illustrations
- Illustration 2.1: Position and Displacement.
- Illustration 2.2: Average Velocity.
- Illustration 2.3: Average and Instantaneous Velocity.
- Illustration 2.4: Acceleration and Measurement.
- Illustration 2.5: Motion on a Hill or Ramp.
- Illustration 2.6: Free Fall.
Explorations
- Exploration 2.1: Compare Position vs. Time and Velocity vs. Time Graphs.
- Exploration 2.2: Determine the Correct Graph.
- Exploration 2.3: A Curtain Blocks Your View of a Golf Ball.
- Exploration 2.4: Set the x(t) of a Monster Truck.
- Exploration 2.5: Determine x(t) and v(t) of the Lamborghini.
- Exploration 2.6: Toss the Ball to Barely Touch the Ceiling.
- Exploration 2.7: Drop Two Balls; One with a Delayed Drop.
- Exploration 2.8: Determine the Area Under a(t) and v(t).
Problems
- Problem 2.1: Position vs. time graph for the T-bird.
- Problem 2.2: A hockey puck sliding on ice collides and rebounds from a wall.
- Problem 2.3: Which helicopter flies according to the velocity vs. time graph shown?
- Problem 2.4: Two balls are putted with the same initial velocity on separate greens.
- Problem 2.5: Sketch velocity vs. time graph.
- Problem 2.6: Playing constant velocity putt-putt golf.
- Problem 2.7: Calculate the acceleration of 6 carts depending on the data given.
- Problem 2.8: The purple truck is catching up to the yellow truck.
- Problem 2.9: The animation simulates the motion of a helium balloon.
- Problem 2.10: The rope holding cargo on a hot-air balloon is cut.
- Problem 2.11: A golf ball is putted on a level, but wet, green.
- Problem 2.12: Two springs are attached to the ends of a cart that is on a cart track.
- Problem 2.13: A golf ball is putted up a steep hill on a green.
- Problem 2.14: A putted golf ball rolls on a green.
- Problem 2.15: Playing constant acceleration putt-putt golf.
- Problem 2.16: Playing constant acceleration putt-putt golf.
- Problem 2.17: Drag the black rectangle into position.
- Problem 2.18: A tennis ball launcher shoots a red tennis ball into the air.
- Problem 2.19: A tennis ball launcher shoots a tennis ball into the air.
