Textbook Question
A speed skater accelerates from rest and then keeps skating at a constant speed. Draw a complete motion diagram of the skater.
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Ch 01: Concepts of Motion
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796
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Table of contents
- Ch 01: Concepts of Motion35
- Ch 02: Kinematics in One Dimension75
- Ch 03: Vectors and Coordinate Systems58
- Ch 04: Kinematics in Two Dimensions60
- Ch 05: Force and Motion23
- Ch 06: Dynamics I: Motion Along a Line53
- Ch 07: Newton's Third Law27
- Ch 08: Dynamics II: Motion in a Plane52
- Ch 09: Work and Kinetic Energy56
- Ch 10: Interactions and Potential Energy50
- Ch 11: Impulse and Momentum56
- Ch 12: Rotation of a Rigid Body71
- Ch 13: Newton's Theory of Gravity52
- Ch 14: Fluids and Elasticity44
- Ch 15: Oscillations55
- Ch 16: Traveling Waves37
- Ch 17: Superposition39
- Ch 18: A Macroscopic Description of Matter53
- Ch 19: Work, Heat, and the First Law of Thermodynamics60
- Ch 20: The Micro/Macro Connection53
- Ch 21: Heat Engines and Refrigerators34
- Ch 22: Electric Charges and Forces40
- Ch 23: The Electric Field39
- Ch 24: Gauss' Law32
- Ch 25: The Electric Potential63
- Ch 26: Potential and Field57
- Ch 27: Current and Resistance42
- Ch 28: Fundamentals of Circuits39
- Ch 29: The Magnetic Field47
- Ch 30: Electromagnetic Induction60
- Ch 31: Electromagnetic Fields and Waves32
- Ch 32: AC Circuits63
- Ch 33: Wave Optics32
- Ch 34: Ray Optics57
- Ch 35: Optical Instruments30
- Ch 36: Special Relativity38
- Ch 37: The Foundations of Modern Physics25
- Ch 38: Quantization49
- Ch 39: Wave Functions and Uncertainty31
- Ch 40: One-Dimensional Quantum Mechanics35
- Ch 41: Atomic Physics18
- Ch 42: Nuclear Physics27
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Not the one you use?Change textbook
Chapter 1, Problem 8a
FIGURE EX1.8 shows the first three points of a motion diagram. Is the object's average speed between points 1 and 2 greater than, less than, or equal to its average speed between points 0 and 1? Explain how you can tell.
Verified step by step guidance1
Step 1: Understand the concept of average speed. Average speed is defined as the total distance traveled divided by the total time taken. Mathematically, it can be expressed as: , where is the distance and is the time interval.
Step 2: Analyze the motion diagram provided in the image. The points labeled 0, 1, 2, 3, and 4 represent positions of the object at successive time intervals. The spacing between these points indicates the distance traveled during each time interval.
Step 3: Compare the spacing between points 0 and 1 with the spacing between points 1 and 2. If the spacing between points 1 and 2 is greater than the spacing between points 0 and 1, the object traveled a greater distance in the same time interval, resulting in a higher average speed. Conversely, if the spacing is smaller, the average speed is lower.
Step 4: Based on the image, observe that the spacing between points 1 and 2 is slightly greater than the spacing between points 0 and 1. This suggests that the object's average speed between points 1 and 2 is greater than its average speed between points 0 and 1.
Step 5: Conclude that the object's average speed between points 1 and 2 is greater than its average speed between points 0 and 1, as indicated by the increasing spacing in the motion diagram.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Average Speed
Average speed is defined as the total distance traveled divided by the total time taken. It provides a measure of how fast an object is moving over a specific interval. In the context of the motion diagram, calculating average speed between points involves determining the distance between those points and the time it took to travel that distance.
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Motion Diagram
A motion diagram visually represents an object's position at various points in time. Each point on the diagram corresponds to a specific moment, allowing for analysis of the object's movement. By examining the spacing between points, one can infer changes in speed and direction, which are crucial for understanding average speed calculations.
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Distance and Time Relationship
The relationship between distance and time is fundamental in kinematics. When analyzing average speed, the distance covered between two points and the time taken to cover that distance are key factors. If the distance between points increases or the time decreases, the average speed will be affected, allowing for comparisons between different segments of motion.
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Related Practice
Textbook Question
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.
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Textbook Question
A jet plane lands on the deck of an aircraft carrier and quickly comes to a halt. Draw a basic motion diagram, using the s from the video, from the time the jet touches down until it stops.
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Textbook Question
You are watching a jet ski race. A racer speeds up from rest to 70 mph in 10 s, then continues at a constant speed. Draw a basic motion diagram of the jet ski, using s from the video, from its start until 10 s after reaching top speed.
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Textbook Question
FIGURE EX1.9 shows five points of a motion diagram. Use Tactics Box 1.2 to find the average acceleration vectors at points 1, 2, and 3. Draw the completed motion diagram showing velocity vectors and acceleration vectors.
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Textbook Question
FIGURE EX1.10 shows two dots of a motion diagram and vector. Copy this figure, then add dot 4 and the next velocity vector if the acceleration vector at dot 3 points left.
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