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
Question
Chapter 5, Problem 33P
(a)
To determine
The value of constant
(b)
To determine
The speed at
(c)
To determine
Show that the acceleration of the boat is proportional to the speed at any time.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.)
(a) What is the particle's acceleration (in m/s²)?
=
î+ 18.4
v(t) =
(b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin.
r(t) =
î+
X
Î-
i) m/s
m/s
A motor car is moving with initial velocity in the x-direction at 30 m/s. After 30 s, the car applies its brakes steadily to slow down the car to a velocity of 10 m/s in 12 s. The continues onward for 10 s more. How far in m did the car travel for the full 52 s? Report your answer to three sig figs, you don't need to write "m".
HINT: Break up the problem into three stages - 30s, 12s, and the final 10s. During the 12 s, you'll need the acceleration.
The velocity of a particle moving along the x-axis is defined by V= kx3 – 4x2 +6x, where V is in m/sec., x is in meters, and k is a constant. If K=1 Compute the value of the acceleration after x= 2 meters.
Chapter 5 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 5.1 - You press your physics textbook flat against a...Ch. 5.1 - A crate is located in the center of a flatbed...Ch. 5.1 - You are playing with your daughter in the snow....Ch. 5.2 - You are riding on a Ferris wheel (Fig. 5.8) that...Ch. 5.3 - Which of the following is impossible for a car...Ch. 5.3 - A bead slides freely along a curved wire lying on...Ch. 5.4 - Consider a sky surfer falling through air, as in...Ch. 5 - The driver of a speeding empty truck slams on the...Ch. 5 - The manager of a department store is pushing...Ch. 5 - An object of mass m moves with acceleration a down...
Ch. 5 - An office door is given a sharp push and swings...Ch. 5 - Prob. 5OQCh. 5 - A pendulum consists of a small object called a bob...Ch. 5 - A door in a hospital has a pneumatic closer that...Ch. 5 - The driver of a speeding truck slams on the brakes...Ch. 5 - A child is practicing for a BMX race. His speed...Ch. 5 - A large crate of mass m is placed on the flatbed...Ch. 5 - Before takeoff on an airplane, an inquisitive...Ch. 5 - Prob. 12OQCh. 5 - As a raindrop falls through the atmosphere, its...Ch. 5 - An object of mass m is sliding with speed vi at...Ch. 5 - A car is moving forward slowly and is speeding up....Ch. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQCh. 5 - It has been suggested that rotating cylinders...Ch. 5 - Prob. 12CQCh. 5 - Why does a pilot tend to black out when pulling...Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - The person in Figure P5.6 weighs 170 lb. As seen...Ch. 5 - A 9.00-kg hanging object is connected by a light,...Ch. 5 - Prob. 8PCh. 5 - A 3.00-kg block starts from rest at the top of a...Ch. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - A block of mass 3.00 kg is pushed up against a...Ch. 5 - Two blocks connected by a rope of negligible mass...Ch. 5 - Three objects are connected on a table as shown in...Ch. 5 - Why is the following situation impossible? Your...Ch. 5 - Prob. 16PCh. 5 - A light string can support a stationary hanging...Ch. 5 - Why is the following situation impossible? The...Ch. 5 - A crate of eggs is located in the middle of the...Ch. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - A roller coaster at the Six Flags Great America...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - A pail of water is rotated in a vertical circle of...Ch. 5 - Prob. 27PCh. 5 - A child of mass m swings in a swing supported by...Ch. 5 - Prob. 29PCh. 5 - (a) Estimate the terminal speed of a wooden sphere...Ch. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - A 9.00-kg object starting from rest falls through...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Consider the three connected objects shown in...Ch. 5 - A car rounds a banked curve as discussed in...Ch. 5 - Prob. 45PCh. 5 - An aluminum block of mass m1 = 2.00 kg and a...Ch. 5 - Figure P5.47 shows a photo of a swing ride at an...Ch. 5 - Why is the following situation impossible? A...Ch. 5 - A space station, in the form of a wheel 120 m in...Ch. 5 - A 5.00-kg block is placed on top of a 10.0-kg...Ch. 5 - In Example 6.5, we investigated the forces a child...Ch. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Why is the following situation impossible? A book...Ch. 5 - A single bead can slide with negligible friction...Ch. 5 - An amusement park ride consists of a large...Ch. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - If a single constant force acts on an object that...
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 motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and b is 2.84 in m/s^2. find the instantaneous velocity in m/s of the particle from time t 5.93s. Express your answer rounded off to two decimal places. Do not include the unit.arrow_forwardA parachutist jumps out of an airplane and accelerates with gravity to a maximum velocity of 58.8 m/s in 6 seconds. She then pulls the parachute cord and after a 4 second deceleration, descends at 10 m/s for 60 seconds. reaching the ground. From what height did the parachutist jump?arrow_forward2.68 0. CALC An object's velocity is measured to be v,(1) = a – Bt², . 4.00 m/s and B = 2.00 m/s. At t = 0 the object is at x = 0. (a) Calculate the object's position and acceleration as functions of time. (b) What is the object's maximum positive displacement from the origin? where a =arrow_forward
- The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places.a) Find an equation v(t) for the object velocity.v(t)v(t) = −8cos(t)−2Correct b) Find the object's displacement (in meters) from time 0 to time 3.3.4187Incorrect metersc) Find the total distance traveled by the object from time 0 to time 3. metersarrow_forwardA car is traveling on a straight, level road under wintry conditions. Seeing a patch of ice ahead of her, the driver of the car slams on her brakes and skids on dry pavement for 70 m, decelerating at 6.0 m/s2. Then she hits the icy patch and skids again. The car takes a duration of 85.0 s to come to rest during the second skid. If her initial speed was 50 m/s, what was the magnitude of the deceleration on the ice during the second skid. 1. Which of the following kinematic equations would you use to determine the velocity of the car after skidding on the dry pavement for 70 m? 2. Determine the velocity of the car after skidding on the dry pavement for 70 m. 3. Which of the following kinematic equations would you use to determine the deceleration of the car after skidding to a stop on the icy patch? 4. Determine the magnitude of the deceleration of the car after skidding to a stop on the icy patch.arrow_forwardA car is traveling on a straight, level road under wintry conditions. Seeing a patch of ice ahead of her, the driver of the car slams on her brakes and skids on dry pavement for 70 m, decelerating at 6.0 m/s2. Then she hits the icy patch and skids again. The car takes a duration of 85.0 s to come to rest during the second skid. If her initial speed was 50 m/s, what was the magnitude of the deceleration on the ice during the second skid.arrow_forward
- The distance s(t), in meters, is given as a function of time, in seconds, below. s(t)=t^5−2/t+ln(9t) Find the velocity function and evaluate at t=2 seconds. Answer in the form: v(t)=At^4+2t^B+t^−1. A= B= v(2)= Find the acceleration function and evaluate at t=1 second. Answer in the form: a(t)=Ct^3+Dt^−3−t^−2. C= D= a(1)=arrow_forwardA typical reaction time to get your foot on the brake in your car is 0.2 seconds. If you are traveling at a speed of 47 kph, what distance will your car travel during this reaction time? Express your answers in meters.arrow_forwardAn engineer is testing how quickly a car accelerates from rest. The velocity V is measured in miles per hour, as a function of time t, in seconds, since the car is at rest. See the table below. What is the slope for the linear function modeling velocity as a function of time, V=, and what would the formula be for the velocity at time 0, V(0) Time (t) Velocity (V) 2.0 28.9 2.5 35.0 3.0 41.1 3.5 47.2arrow_forward
- A soccer ball starts from rest and accelerates with an acceleration of 0.385 m/s2 while moving down a 8.50 m long inclined plane. When it reaches the bottom, the ball rolls up another plane, where, after moving 14.75 m, it comes to rest. (a) What is the speed of the ball at the bottom of the first plane (in m/s)? (Round your answer to at least two decimal places.) m/s (b) How long does it take to roll down the first plane (in s)? (c) What is the magnitude of the acceleration along the second plane (in m/s?)? m/s2 (d) What is the ball's speed 8.20 m along the second plane (in m/s)? m/s (e) What If? You change the angles of the two inclines in such a manner that the new acceleration down the first incline is a, new down = 2a initiel down and up the second incline is a, new un x initial up, What is the ball's speed 8.20 m up the second plane (in m/s)? 2 m/sarrow_forwardFor a moving car, including air resistance, the acceleration is given by a = Bv+ Cv², where v is the speed and B and C are constants. Determine the SI units of B and C.arrow_forwardAn object is dropped at rest from the roof of a building of height h. Neglect air resistance. In the last t = 0.30 seconds the object falls a distance of h/5. What is the height of the building h in meters?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
Newton's Second Law of Motion: F = ma; Author: Professor Dave explains;https://www.youtube.com/watch?v=xzA6IBWUEDE;License: Standard YouTube License, CC-BY