Answered: Under what circumstances does distance…

Under what circumstances does distance traveled equal magnitude of displacement? What is the only case in which magnitude of displacement and displacement are exactly the same?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 2CQ: Under what circumstances does distance traveled equal magnitude of displacement? What is the only...

See similar textbooks

Related questions

Q: Can an object with constant acceleration reverse its direction of travel? Can it reverse its…

A: To determine: Explain, (a) Can an object reverse its direction of travel with constant acceleration?…

Q: During training, HD sprints 30 m East and then 40 m West. Which gives the distance travelled and the…

A: Given, An HD sprints 30m east & 40m west

Q: Can you give several examples of an object's motion in which a great distance is traveled but the…

A: Displacement is the shortest distance between the final and initial position of the object .…

Q: Represent the following displacements and determine the resultant us8ng the mathematical method.…

A: The three distances are given as, d1=10 km 40o S of Ed2=5 km Wd3=15 km 10o E of N

Q: ent from the equation, y

Q: A hiker walks 2.95 km north and then 4.10 km west, all in one hour and twenty minutes. (a)…

Q: Which is always true for an object in uniformly accelerated motion? A. Its velocity is constant. B.…

A: Given : an object is in uniformly accelerated motion

Q: ‘The motion of a particle is defined by the relation velocity, and the acceleration of the particle…

A: X = 5t4 - 4t3 + 3t - 2 Therefore position at t = 2s X(2) = 5(2)4 - 4(2)3 + 3(2) -2 X(2) = 80 - 32 +…

Q: For a car moving forward and then to the right, how does average speed compare to the average…

A: Given : A car moves forward and then turns right Required : The comparison of the average speed…

Q: First, you will investigate purely vertical motion. The kinematics equation for vertical motion…

Q: On a one lane road, a person driving a car at v = 78 mi/h suddenly notices a truck 0.65 mi in front…

Q: A person going for a walk follows the path shown in Fig- The total trip consists of four…

Q: A truck moves 70 m east, then moves 120 m west, and finally moves east again a distance of 90 m. If…

Q: A particle is moving upward to the right along the path y = x² + 26 where x and y are in meters. The…

A: Given y = x2 + 26 x = t2-t+4

Q: Under what circumstances does distance traveled equal magnitude of displacement?

A: Since there are multiple questions posted, we will answer the first question for you. If you want…

Q: Give an example in which there are clear distinctions among distance travelled, displacement and…

A: We consider a journey from home to college and back.

Q: A car is traveling east at 22.5 m/s when it turns due north and accelerates to 32.5 m/s during a…

Q: The acceleration is a Scalar and vector quantities O None of the above Scalar quantity Vector…

A: Acceleration Formula - a=dvdt

Q: < Which of the following best compares average speed with average velocity? 2 A Average speed is…

Q: The initial velocity of the bob is found to be 65 cm/s. If there are 31 dots on the ticker tape, how…

A: We know that ticker tape ticks 60 times in a second. Hence, 60 dots represent 1 second. Lets have…

Q: If the acceleration is constant, then

Q: A car travelling along a road with a speed of v= 3s^(3/2) m/s where s is in meters a. Determine the…

Q: If an object is thrown straight up with an initial speed v = 18 m/s from ground level, What will be…

A: Given data The initial speed is v=18 m/s The time is t=2 s The equation of motion for the object…

Q: Give a situation in which there are clear distinctions among distance travelled, displacement and…

A: Let us suppose the situation that a man is standing at point A and wants to reach the point D as…

Q: On a one lane road, a person driving a car at v = 78 mi/h suddenly notices a truck 0.65 mi in front…

A: Initial speed of the car is v1 = 78 mi/h Truck is moving at a speed of v2 = 41 mi/h Distance…

Q: 30- 10 5 3 A 10 В 10 5 10 30 8 5+ 2- t D 10 10 F 10

Q: A football player runs from his own goal line to the opposing team's goal line, returning to his…

Q: When a football in a field goal attempt reaches its maximum height, how does its speed at this…

A: When a football in a field goal attempt reached its maximum height it's speed at this position is…

Q: Starting at time t = 0, an object starts moving along a straight line. Its coordinate in meters is…

Q: If the velocity of an object is given by V = 5* t3+2 - 6*t3 +6, when x0 = 5, what is its…

A: The given data are: v=5t3+2-6t3+6=5t5-6t3+6

Q: There are no cases where displacement and distance have the same value. True or False

Q: 3 For each of the following journeys find (a) the initial and final positions [b] the total…

A: (a) From the graph, we can see that the initial position is 60 km and final position is 0 km.…

Q: A football player runs from his own goal line to the opposing team's goal line, returning to his…

A: The problem relates to an American Football field.Consider that the football player in the problem…

Q: An object is moving in such a way that the velocity is changing (only direction is changing, but…

A: There are two types of physical quantities. Scalar physical quantities are those which have only…

Q: Which among the following definitions is/are FALSE? I. Distance has a magnitude and but no…

A: To determine: The correct option.

Q: A marathoner runs 22 km [N] and then 32 km[S].Assuming the entire run takes 4.2 hours, solve the…

Q: You throw a ball off a cliff at t = 0. Its motion is described by this position vector r = 40 mj +…

Q: Which of the following is/are ALWAYS TRUE? I. Displacement is a vector quantity that has a…

Q: Which of the following best compares average speed with average velocity? A Average speed is always…

A: Introduction: The average velocity of the object is equal to the ratio of total displacement and…

Q: When a particle is projected vertically upwards with an initial velocity of 00, it experiences an…

A: In order to solve the given problem, we should aware of the concept of velocity and acceleration.…

Q: You take your dog on a walk to a nearby park. On the way, yourdog takes many short side trips to…

A: There is a basic difference between distance and displacement. Displacement is a vector which…

Q: If the starting point and end point of motion are located in same position, the displacement is…

A: Displacement is the shortest distance between two fixed points .It is a vector quantity.

Q: A uniformly accelerating rocket is found to have a velocity of 12.0 m/s when its height is 7.00 m…

A: Given: Velocity of rocket (u) = 12.0 m/s. Height at which rocket have v1 velocity (h1) = 7.0 m. t2 =…

Q: For each of the following journeys find (a) the initial and final positions [b] the total…

Q: A ball has coordinates x = t2 – 3t + 20 and y = 2 + 3t given in inches, wheret is in seconds. Find…

A: The components of velocity and the position are related as vx = dxdt vy = dydt The components of…

Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

Under what circumstances does distance traveled equal magnitude of displacement? What is the only case in which magnitude of displacement and displacement are exactly the same?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Find the following for path B in Figure 2.59: (a) The distance traveled. (b) The magnitude of the displacement from start to finish. (c) The displacement from start to finish.
Consider the following combinations of signs and values for the velocity and acceleration of a particle with respect to a one-dimensional x-axis: Velocity Acceleration a. Positive Positive b. Positive Negative c. Positive Zero d. Negative Positive e. Negative Negative f. Negative Zero g. Zero Positive h. Zero Negative Describe what the particle is doing in each case and give a real-life example for an automobile on an east-west one-dimensional axis, with east considered the positive direction.
Give a situation in which there are clear distinctions among distance travelled, displacement and magnitude of displacement.
What are the magnitude and direction of the total displacement for a treasure hunt where you need to go 6 paces east and 3 paces north? Assume that each pace is 0.500 m in length. Let east be the positive x direction and north be the positive y direction.
(the complete question is in the picture) Which among the following definitions is/are FALSE?I. Distance has a magnitude and but no direction.II. Average velocity is equal to the quantity: total displacement divided by the total time.III. Instantaneous velocity is the slope of the velocity vs. time graph.A. I only B. II only C. III only D. II and III
A man walks on a straight road from his home to a market 5 km away with a speed of 10 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. What is the magnitude of average velocity?
There are no cases where displacement and distance have the same value. True or False
Consider motion in one dimension. Which of the following is always true? a.) The average velocity can be zero when the total displacement is non-zero. b.) When the total displacement is zero, the distance travelled is also zero. c.) The magnitude of the average velocity is the average speed. d.) If the total displacement is zero, the instantenous velocity is zero somewhere.
For projectile motion problems, the horizontal and vertical components of the motion of a projectile can be analyzed separately. Which of the following is TRUE about the horizontal component of its motion?a. The horizontal component of the acceleration is constant and is equal to -9.81 m/s^2b. The motion is uniformc. The horizontal component of the velocity varies with positiond. The motion is uniformly accelerated
A speedboat increases its speed uniformly from 20 m/s to 30 m/s in a distance of 200 m Find (a) the magnitude of its acceleration and (b) the time it takes the boat to travel the 200 m distance
Two campers in a national park hike from their cabin to the same spot on a lake, each taking a different path, The total distance traveled along Path 1 is 7.5 km, and that along Path 2 is 8.2 km. What is the final displacement of eachcamper?
For a car moving forward and then to the right, how does average speed compare to the average velocity. 1. The average speed is larger because the distance is greater than the magnitude of the displacement. 2. The average velocity is larger because the magnitude of the displacement is greater than the distance. 3. They are equal because the time is the same for both. 4. The average speed is larger because the magnitude of the displacement is larger than the distance.