Domanda del libro di testo
FIGURE EX2.5 shows the position graph of a particle. Draw the particle’s velocity graph for the interval .
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Ch 02: Kinematics in One Dimension
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796
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TOC.tableOfContents
- 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: 9780137344796Non è quello che usi tu?Cambia libro di testo
Capitolo 2, Problema 2a
Julie drives 100 mi to Grandmother's house. On the way to Grandmother's, Julie drives half the distance at 40 mph and half the distance at 60 mph. On her return trip, she drives half the time at 40 mph and half the time at 60 mph. What is Julie's average speed on the way to Grandmother's house?
Guida verificata passo dopo passo1
Step 1: Understand the concept of average speed. Average speed is defined as the total distance traveled divided by the total time taken. For the trip to Grandmother's house, Julie drives half the distance at 40 mph and the other half at 60 mph. We need to calculate the total time taken for the trip and divide the total distance (100 mi) by this time.
Step 2: Divide the total distance into two equal parts since Julie drives half the distance at each speed. Each part is 50 mi (100 mi ÷ 2).
Step 3: Calculate the time taken to travel each segment. Use the formula for time: \( t = \frac{d}{v} \), where \( d \) is distance and \( v \) is speed. For the first segment (50 mi at 40 mph), \( t_1 = \frac{50}{40} \). For the second segment (50 mi at 60 mph), \( t_2 = \frac{50}{60} \).
Step 4: Add the times for both segments to find the total time taken for the trip to Grandmother's house: \( t_{\text{total}} = t_1 + t_2 \).
Step 5: Calculate the average speed using the formula \( v_{\text{avg}} = \frac{d_{\text{total}}}{t_{\text{total}}} \), where \( d_{\text{total}} \) is the total distance (100 mi) and \( t_{\text{total}} \) is the total time calculated in Step 4.
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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 moves over a given distance, regardless of variations in speed during the journey. In this scenario, calculating average speed requires determining the time taken for each segment of the trip to find the overall average.
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Percorso guidato
05:44
Solving Constant and Average Velocity Problems
Distance and Time Relationship
The relationship between distance, speed, and time is fundamental in physics, expressed by the formula: distance = speed × time. This relationship allows us to calculate one variable if the other two are known. In Julie's case, understanding how to break down her trip into segments based on distance and speed is crucial for finding the total time taken.
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03:43Relationships Between Force, Field, Energy, Potential
Segmented Travel
Segmented travel refers to a journey divided into parts, each with potentially different speeds or conditions. In Julie's trip, she travels half the distance at one speed and the other half at another speed. This concept is important for calculating average speed, as it requires analyzing each segment separately to determine the total time and distance.
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7:18Comet Traveling Around the Sun
Pratica correlata
Domanda del libro di testo
Larry leaves home at 9:05 and runs at constant speed to the lamppost seen in FIGURE EX2.1. He reaches the lamppost at 9:07, immediately turns, and runs to the tree. Larry arrives at the tree at 9:10. What is Larry's average velocity, in, during each of these two intervals?
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Domanda del libro di testo
Larry leaves home at 9:05 and runs at constant speed to the lamppost seen in FIGURE EX2.1. He reaches the lamppost at 9:07, immediately turns, and runs to the tree. Larry arrives at the tree at 9:10. What is Larry's average velocity for the entire run?
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Domanda del libro di testo
FIGURE EX2.4 is the position-versus-time graph of a bicycle. What is the bicycle's velocity at t = 5s
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Domanda del libro di testo
FIGURE EX2.4 is the position-versus-time graph of a bicycle. What is the bicycle's velocity at t = 30s?
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