A person walks first at a constant speed of 4.60 m/s along a straight line from point A to point B and then back along the line from B to A at a constant speed of 3.10 m/s. (a) What is her average speed over the entire trip? (b) What is her average velocity over the entire trip

A person walks first at a constant speed of 4.60 m/s along a straight line from point A to point B and then back along the line from B to A at a constant speed of 3.10 m/s. (a) What is her average speed over the entire trip? (b) What is her average velocity over the entire trip

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 5CQ

See similar textbooks

Related questions

Q: Compute your average velocity in the following two cases: (a) You walk 54.6 m at a speed of 2.40 m/s…

Q: A motorist traveling with a constant velocity of 30 m/s passes a school-crossing comer, where the…

Q: A space shuttle is launched from rest. It takes 8.00 s to reach 158 km/h , and at the end of the…

A: The total time taken by the shuttle is,Substitute the values,

Q: Suppose an object starts at time t=0s at a position defined as x=0m. At t=0.5s, the object is at…

A: Given- Time intervals are, t1 = 0.25 s s1 = 0 to 1.5 m t2 = 0.75 s s2 = 1.5 to 2.0 m

Q: A motorcycle starts from rest at t = 0, and attains a final speed V at time t. If the motorcycle's…

Q: Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h…

A: Given: speed of first car V1 = 55 mi/h speed of second car V2 = 60 mi/h

Q: Two objects are traveling on the same track. For 10 s, Object X has an average acceleration of 3.0…

A: Given data The average acceleration of the object X is a x = 3 m/s2 The initial velocity of the…

Q: At the moment of departure of a train, the signalman is standing next to the first wagon, which…

A: Answer 63.6 Sec

Q: Starting from rest, a particle confined to move along a straight line is accelerated at a rate of…

A: The acceleration is the rate of change of velocity. The magnitude of the acceleration will be equal…

Q: A person takes a trip, driving with a constant speed of 89.5 km/h, except for a 22 minute rest stop.…

A: Given data: The speed of person is u=89.5 km/h. The time for rest is t’=22 min. The average speed…

Q: The velocity of a particle at any time t moving along an x-axis is given by the following equation:…

A: The first order derivative of position is velocity whereas the second order derivative of position…

Q: The position of a particle moving along the x axis varies in time according to the expression…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: A train traveling initially at 16 m/s undergoes a constant acceleration of 2 m/s² in the same…

Q: Compute your average velocity in the following two cases: (a) You walk 60.3 m at a speed of 1.37 m/s…

A: GIVEN walk for 1.00 min a speed of 1.37 m/s then run for 1.89 min at 3.16 m/s along a straight…

Q: The velocity of a particle at any time t moving along an x-axis is given by the following equation:…

A: The first order derivative of the position is velocity whereas the second derivative of the position…

Q: A train is traveling down a straight track at 20 m/s when the engineer applies the brakes, resulting…

Q: Starting from rest, a bus leaves a gas station with a constant acceleration of 2 m/s˄2 until it…

A: We will split the problem into three parts and then solve for the traveled distance.

Q: a researcher observes a vehicle with an initial velocity of 14 m/s. the vehicle accelerated…

A: Equation of motion is given by

Q: An object is initially at rest and subject to a constant acceleration of 1.93m/s^2. What amount of…

Q: A person walks first at a constant speed of 4.90 m/s along a straight line from point O to point O…

A: Given: A person walks first at a constant speed of 4.90 metre per second along a straight line from…

Q: When it is possible to say that the value of average velocity is approximately the same as the…

Q: The velocity of a particle at any time t moving along an x-axis is given by the following equation:…

A: We know, Velocity is the first time derivative of position and acceleration is the double derivative…

Q: A person walks first at a constant speed of 4.60 m/s along a straight line from point ® to point ®…

Q: A person walks first at a constant speed of 5m/s along a straight line from point A to point B and…

A: Let 'd' be the distance between point A and point B. Constant speed to person from A to B: v1 = 5…

Q: A cart is given an initial velocity of 5 m/s and experiences a constant acceleration of 2.4 m/s?.…

A: Given: Initial velocity is u=5 m/s The acceleration is 2.4 m/s2 The time is t=11 sec Asked: s=?

Q: A particle traveling on a line has constant acceleration a(t)=−2/5. If s(1) = 3 and s(6) = 8, find…

Q: A racing car starts from rest at t= 0 and reaches a final speed v at time t. If the acceleration of…

Q: The acceleration of a particle is given by ax(t)=−2.00m/s2+(3.00m/s3)t. Find the initial velocity…

A: Given Acceleration- ax(t)=−2.00m/s2+(3.00m/s3)t= (-2+3t)m/s2 Time t= 4.93 s

Q: An object's position is described by the following polynomial for 10 s=t^3 - 12t^2 + 24t where s is…

A: Please note : As per answering guidelines I can answer the first 3 sub-parts of a multisub-part…

Q: For a motion with constant acceleration, the equation of average velocity is 2. It is not valid for…

Q: A race car starts from rest and travels east along a straight and level track. For the first 5.0 s…

A: Given that, the velocity as a function of time Ux(t) = (0.920m/s)t^2 We are required to calculate…

Q: If a particle increases in speed at a constant rate as it moves in the positive direction along an x…

A: Acceleration is the rate of change of velocity a = dv/dt Slope of velocity time graph represent…

Q: Suppose an object starts at time t=0s at a position defined as x=0m. At t=0.5s, the object is at…

A: Recall Vavg=∆X∆tAndaavg=∆V/∆t

Q: The velocity of a particle is given by v(t) =t² - 2t. The position of the particle at the time t = 0…

Q: Straight? An object moves in a straight line according to the following position function, x(t) =…

A: Position of the object as a function of time x(t)=-14+3t

Q: A car traveling in a straight line with an initial velocity of 10 m/s undergoes a constant…

A: Use the kinematic equation in terms of initial velocity, time, and distance covered. ∆x=vit+12at2

Q: a particle is moving along x axis with uniform acceleration and its velocity is given by v = under…

A: Given information: The velocity function with respective to position: v=9+6x Initial condition "at…

Q: An object has an initial velocity of 19 m/s and a constant acceleration of 4.1 m/s ^ 2 . How long…

A: Given data: Initial velocity (Vi) = 19 m/s Acceleration (a) = 4.1 m/s2 Final velocity (Vf) = 3Vi…

Q: A graph of position vs. time for a certain particle moving along the x-axis is shown. Find the…

A: From the graph we can se the values of x1 and x2 and t1 and t2 Formula for average velocityv =…

Q: Suppose that an object is moving with a constant velocity. Which statement concerning its…

Q: Compute your average velocity in the following two cases: (a) You walk 64.0 m at a speed of 1.28 m/s…

A: a) It is given that

Q: What is the initial velocity of a person who has an acceleration of 15 m/s^2 and reaches a max…

Q: A car starts from rest, then accelerates at a constant rate over a distance of 55 m. It then…

Q: A jogger jogs from one end to the other of a straight track in 1.03 min and then back to the…

Q: A person walks at a constant speed of 4.0 m/s along a straight line from point a to point b and back…

A: Given data The speed of the person from point a to point b is: Sab = 4 m/s The speed of the person…

Q: A person walks first at a constant speed of 5.10 m/s along a straight line from point O to point ®…

A: Given data: The velocity from A to R is v1=5.10 m/s. The velocity from R to A is v2=2.8 m/s.

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

A person walks first at a constant speed of 4.60 m/s along a straight line from point A to point B and then back along the line from B to A at a constant speed of 3.10 m/s.

(a) What is her average speed over the entire trip?

(b) What is her average velocity over the entire trip?

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 with 4 images

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

The velocity of a particle at any time t moving along an x-axis is given by the following equation: v = 3t^2 - 8t + 3 where v is in m/s. At t = 0, x = 0. Determine the following:(a) the particle's displacement between t = 0 and t = 4 s (b) the average velocity for the time interval t =0 to t = 4 s (c) the acceleration when t =3 s (d) the instantaneous velovity at t = 4 s (e) what is the initial direction of motion of the particle?
A person walks at a constant speed of 4.0 m/s along a straight line from point a to point b and back along the line from point b to a at a constant speed of 3.20 m/s. What is her average speed over the entire trip? What is her average velocity over the entire trip?
Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position. a(t) = 2 + 3 sin t; ν(0) = 1, s(0) = 10
A certain aircraft has a liftoff speed of 113km / h .What minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 239 m? How long does it take the aircraft to become airborne?
Accelerating uniformly at 2.4 m/s2, an object starts with an initial velocity v = 2 m/s to a final velocity of 8 m/s, traveling along the same direction. How far will the object travel during this time?
A person takes a trip, driving with a constant speed of 89.5 km/h, except for a 22 minute rest stop. If the persons average speed is 77.8 km/h how much time is spent on the trip and what distance did they travel?
A particle moves from an initial position with coordinates x = -2.0 m, y = +3.0 m, to a final position with coordinates x = +5.0 m, y = +7.0 m in a time interval of 10 s. What is the magnitude of the average velocity for this displacement?
Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 60 mi/h. Assuming they start at the same point, how much sooner does the faster car arrive at a destination 6 mi away? How far must the faster car travel before it has a 15-min lead on the slower car?
A runner with a good awareness of her pace runs along a path of unknown length at a speed of 0.275 mi/min and then walks back to her starting point at a speed of 0.0500 mi/min. She neglects to note her time for each part of her path, but does measure the total round trip time to be 60.0 min. How far did she run? Do not include the walking distance
A baseball is pitched, reaching the batter with a speed of 37 m/s, and is hit such that it returns on the same line at 48 m/s. If the ball was in contact with the bat for .22 seconds, what was the magnitude of the average acceleration experienced by the ball during the time of contact?
A train is traveling down a straight track at 32 m/s when the engineer applies the brakes, resulting in an acceleration of −1.0 m/s2 as long as the train is in motion. How far does the train move during a 64-s time interval starting at the instant the brakes are applied in meters?
A train is traveling down a straight track at 20 m/s when the engineer applies the brakes, resulting in an acceleration of −1.0 m/s2 as long as the train is in motion. How far does the train move during a 40-s time interval starting at the instant the brakes are applied?