Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 27P
A speedboat travels in a straight line and increases in speed uniformly from vi = 20.0 m/s to vf = 30.0 m/s in a displacement Δx of 200 m. We wish to find the time interval required for the boat to move through this displacement. (a) Draw a coordinate system for this situation. (b) What analysis model is most appropriate for describing this situation? (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? (d) Solve the equation selected in part (c) symbolically for the boat’s acceleration in terms of vi, vf, and Δx. (e) Substitute numerical values to obtain the acceleration numerically. (f) Find the time interval mentioned above.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
please only answer parts c,d,e,f
An object moves in one dimensional motion with constant acceleration a = 7.4 m/s². At
time t = 0 s, the object is at x = 3.2 m and has an initial velocity of vo = 4 m/s.
How far will the object move before it achieves a velocity of v = 6.6 m/s?
Your answer should be accurate to the nearest 0.1 m.
(a) What are the coordinates of the initial position of the stone?
x0
=
m
y0
=
m
(b) What are the components of the initial velocity?
v0x
=
m/s
v0y
=
m/s
(c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.)
vx
=
vy
=
Chapter 2 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are members of the highway patrol more interested...Ch. 2.4 - Using Active Figure 2.8, match each vxt graph on...Ch. 2.4 - If a car is traveling eastward and slowing down,...Ch. 2.5 - Which of the following statements is true? (a) If...Ch. 2.7 - A ball is thrown upward. While the ball is in...Ch. 2 - One drop of oil falls straight down onto the road...Ch. 2 - When applying the equations of kinematics for an...Ch. 2 - Prob. 3OQCh. 2 - Prob. 4OQ
Ch. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - A pebble is dropped from rest from the top of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - Prob. 8OQCh. 2 - As an object moves along the x axis, many...Ch. 2 - You drop a ball from a window located on an upper...Ch. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - A hard rubber ball, not affected by air resistance...Ch. 2 - Prob. 14OQCh. 2 - If a car is traveling eastward, can its...Ch. 2 - Prob. 2CQCh. 2 - (a) Can the equations of kinematics (Eqs....Ch. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - A person walks first at a constant speed of 5.00...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Prob. 8PCh. 2 - A hare and a tortoise compete in a race over a...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - A particle moves along the x axis according to the...Ch. 2 - A student drives a moped along a straight road as...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - Figure P2.15 shows a graph of vx versus t for the...Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Prob. 17PCh. 2 - The minimum distance required to stop a car moving...Ch. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - The driver of a car slams on the brakes when he...Ch. 2 - In the particle under constant acceleration model,...Ch. 2 - A truck on a straight road starts from rest,...Ch. 2 - A particle moves along the x axis. Its position is...Ch. 2 - A speedboat travels in a straight line and...Ch. 2 - In a classic clip on Americas Funniest Home...Ch. 2 - Prob. 29PCh. 2 - A baseball is hit so that it travels straight...Ch. 2 - Prob. 31PCh. 2 - It is possible to shoot an arrow at a speed as...Ch. 2 - A student throws a set of keys vertically upward...Ch. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - A ball is thrown directly downward with an initial...Ch. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - A steam catapult launches a jet aircraft from the...Ch. 2 - An object is at x = 0 at t = 0 and moves along the...Ch. 2 - Colonel John P. Stapp, USAF, participated in...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - A ball starts from rest and accelerates at 0.500...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - Prob. 45PCh. 2 - The Acela is an electric train on the...Ch. 2 - Liz rushes down onto a subway platform to find her...Ch. 2 - A commuter train travels between two downtown...Ch. 2 - Prob. 49PCh. 2 - A motorist drives along a straight road at a...Ch. 2 - Prob. 51PCh. 2 - Astronauts on a distant planet toss a rock into...Ch. 2 - Prob. 53PCh. 2 - A hard rubber ball, released at chest height,...Ch. 2 - A man drops a rock into a well. (a) The man hears...Ch. 2 - Why is the following situation impossible? A...Ch. 2 - Two objects, A and B, are connected by a rigid rod...
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
- A hot air balloon is moving vertically upwards at a constant rate of 9.0 m/s. As the balloon rises, a package is dropped from the balloon and it takes 5 s to hit the ground. How far did the package fall? Make sure to include a diagram of the physical situation, label known and unknown quantities with units, and coordinate system. Thanks!arrow_forwardA sports car driver turned his car 15.0 km [E 30.0° N], and then turned again 30.0 km [W 45.0° N] to get back on track. If the diversion lasted a total of 2.00 minutes, what was the average velocity of the car, in m/s? Include diagrams to help you solve the question.arrow_forwardA rock is thrown over a cliff from the origin. What is the magnitude of its displacement 2.0 seconds later if the initial velocity is m Vo = 3.2 +2.4 m S Enter your answer in meters. Please Note: Remember to write out your work as you solve this problem. You will be asked to upload your work in the next step. You can type out the steps you took, or you can write them out by hand and upload an image of your handwritten work.arrow_forward
- An object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time taken for acceleration is 2.2 seconds. Calculate the acceleration in m/s2 to 2 sf. In your answer, you do not enter the i unit vector, but you do need to enter negative signs, if appropriate. e.g. if your answer is a = -5.4 i m/s,2 you would enter -5.4arrow_forwardPlease answer this, I need help.arrow_forwardThe velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6.4 seconds of motion and evaluate the velocity when a is zero. Make the plots and then answer the questions. Questions: When t = 0.8 s, V = i m/s, a = i m/s2 When t = 3.7 s, V = i m/s, a = i m/s? When t = 4.7 s, V = i m/s, a = i m/s? When a = 0, V = m/sarrow_forward
- While entering a freeway, a car accelerates from rest at a rate of 2.40 m/s^2 for 12.0 s. (a) Draw a sketch of the situation. (b) List the knowns in this problem. (c) How far does the car travel in those 12.0 s? To solve this part, first identify the unknown, and then discuss how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, check your units, and discuss whether the answer is reasonable. (d) What is the car’s final velocity? Solve for this unknown in the same manner as in part (c), showing all steps explicitly.arrow_forwardA hot air balloon is moving vertically upwards at a constant rate of 9.0 m/s. As the balloon rises, a package is dropped from the balloon and it takes 5 s to hit the ground. How far did the package fall? Make sure to include a diagram of the physical situation, label know and unknown quantities with units, coordinate system. Please use grade 12 kinematics and label the variables as v1, v2, a (Acceleration), t (time), d (displacement) Thanks!arrow_forwardThe acceleration of a particle is a constant. At t = 0 the velocity of the particle is (15.8î + 18.4ĵ) m/s.At = 3.6 s the velocity is 10.5ĵ m/s. (Use the following as necessary: t. Do not include units in your answers.) (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin.arrow_forward
- A race car starts from rest and travels east along a straight and level track. For the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by υx(t)=(0.920m/s^3)t^2 What is the acceleration of the car when υx = 12.8 m/s ? Express your answer with the appropriate units.arrow_forwardProblem 5: A vehicle accelerates down an on ramp and eventually reaches highway speed. The position of the vehicle is described by the following equation: x(t) = AP(1+B) %3D Part (a) Write an expression for the vehicle's instantaneous velocity as a function of time. Expression : v(t) = Select from the variables below to write your expression. Note that all variables may not be required. а, В, л, ө, А, В, d, g, h,j, k, m, Р, S, t Part (b) What is the initial velocity of the vehicle? Numeric : A numeric value is expected and not an expression. Vo = Part (c) What is the vehicle's velocity after accelerating for 10 seconds? The equation's parameters are as follows. A = 34 m/s B = 21 s Numeric : A numeric value is expected and not an expression. v(t) = Part (d) After accelerating, the velocity of the vehicle will begin to level off at highway speed. Write an expression for the vehicle's velocity after it has been accelerating for a long time. Expression : v(t=00) = Select from the variables…arrow_forwardThe coordinates of a bee flying in the xy-plane are given by x(t) = At and y(t) = C - Bt², where A = 3.2 m/s, B = 1.4 m/s², and C= 2.5 m. Calculate the velocity and acceleration vectors of the bee as a function of time. Write your answers in unit vector notation.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY