Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 50P
For the particle in Problem 49, is there any time t > 0 when the particle is (a) at rest and (b) accelerating in the x-direction? If either answer is “yes,” find the time(s).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An object's position in the as a function of time obeys the equation;
x(t) = 14.2/t2.17 + 5.1t3
where all constants have proper SI Units.
What is the speed of the object in the x direction at t = 1.93 seconds?
A particle moves through 3-space in such a way that its acceleration is
a(t)= 8sin 2ri +8cos 2tj+e'k .
where t is time measured in seconds. The initial velocity of the particle is v, =
2i – 3j+k.
At time t = t , find
i)
the velocity vector of the particle.
ii)
the scalar tangential and normal components of acceleration.
The velocity of a particle is given by v [16t'i + 4t'j + (5t + 2)k) m/s, where t is in seconds.
If the particle if at the origin when t 0, determine the z-coordinate position of the
particle when t- 2 s.
Chapter 3 Solutions
Essential University Physics (3rd Edition)
Ch. 3.1 - Which vector describes a displacement of 10 units...Ch. 3.2 - An object is accelerating downward. Which, if any,...Ch. 3.3 - An airplane is making a 500-km trip directly north...Ch. 3.4 - An object is moving initially in the +x-direction....Ch. 3.5 - Two projectiles are launched simultaneously from...Ch. 3.6 - An object moves in a horizontal plane with...Ch. 3 - Under what conditions is the magnitude of the...Ch. 3 - Can two vectors of equal magnitude sum to zero?...Ch. 3 - Repeat Question 2 for three vectors. 2. Can two...Ch. 3 - Can an object have a southward acceleration while...
Ch. 3 - Youre a passenger in a car rounding a curve. The...Ch. 3 - In what sense is Equation 3.8 really two (or...Ch. 3 - Is a projectiles speed constant throughout its...Ch. 3 - Is there any point on a projectiles trajectory...Ch. 3 - How is it possible for an object to be moving in...Ch. 3 - Youre in a bus moving with constant velocity on a...Ch. 3 - Which of the following are legitimate mathematical...Ch. 3 - You would probably reject as unscientific any...Ch. 3 - You walk west 220 m, then north 150 m. What are...Ch. 3 - An ion in a mass spectrometer follows a...Ch. 3 - A migrating whale follows the west coast of Mexico...Ch. 3 - Vector A has magnitude 3.0 m and points to the...Ch. 3 - Use unit vectors to express a displacement of 120...Ch. 3 - Find the magnitude of the vector 34 + 13 m and...Ch. 3 - (a) Whats the magnitude of + ? (b) What angle...Ch. 3 - Youre leading an international effort to save...Ch. 3 - An object is moving at 18 m/s at 220...Ch. 3 - A car drives north at 40 mi/h for 10 min, then...Ch. 3 - An objects velocity is v = ct3 + d, where t is...Ch. 3 - A car, initially going eastward, rounds a 90 curve...Ch. 3 - What are (a) the average velocity and (b) the...Ch. 3 - An ice skater is gliding along at 2.4 m/s, when...Ch. 3 - An object is moving in the x-direction at 1.3 m/s...Ch. 3 - Youre a pilot beginning a 1500-km flight. Your...Ch. 3 - You wish to row straight across a 63-m-wide river....Ch. 3 - A plane with airspeed 370 km/h flies...Ch. 3 - A flock of geese is attempting to migrate due...Ch. 3 - The position of an object as a function of time is...Ch. 3 - Youre sailboarding at 6.5 m/s when a wind gust...Ch. 3 - You toss an apple horizontally at 8.7 m/s from a...Ch. 3 - A carpenter tosses a shingle horizontally off an...Ch. 3 - An arrow fired horizontally at 41 m/s travels 23 m...Ch. 3 - Droplets in an ink-jet printer are ejected...Ch. 3 - Protons drop 1.2 m over the 1.7-km length of a...Ch. 3 - If you can hit a golf ball 180 m on Earth, how far...Ch. 3 - Chinas high-speed rail network calls for a minimum...Ch. 3 - The minute hand of a clock is 7.50 cm long. Find...Ch. 3 - How fast would a car have to round a 75-m-radius...Ch. 3 - Estimate the acceleration of the Moon, which...Ch. 3 - Global Positioning System (GPS) satellites circle...Ch. 3 - Two vectors A and B have the same magnitude A and...Ch. 3 - Prob. 46PCh. 3 - Let A = 15 40 and B = 31 + 18k. Find C such that...Ch. 3 - A biologist looking through a microscope sees a...Ch. 3 - A particles position is r = (ct2 2dt3) + (2ct2 ...Ch. 3 - For the particle in Problem 49, is there any time...Ch. 3 - Youre designing a cloverleaf highway interchange....Ch. 3 - An object undergoes acceleration 2.3 + 3.6 m/s2...Ch. 3 - The New York Wheel is the worlds largest Ferris...Ch. 3 - A ferryboat sails between towns directly opposite...Ch. 3 - The sum of two vectors, A + B, is perpendicular to...Ch. 3 - Write an expression for a unit vector at 45...Ch. 3 - An object is initially moving in the .x-direction...Ch. 3 - A particle leaves the origin with its initial...Ch. 3 - A kid fires a squirt gun horizontally from 1.6 m...Ch. 3 - A projectile has horizontal range R on level...Ch. 3 - You throw a baseball at a 45 angle to the...Ch. 3 - In a chase scene, a movie stuntman runs...Ch. 3 - Standing on the ground 3.0 m from a building, you...Ch. 3 - Derive a general formula for the horizontal...Ch. 3 - Consider two projectiles launched on level ground...Ch. 3 - You toss a protein bar to your hiking companion...Ch. 3 - The table below lists position versus time for an...Ch. 3 - A projectile launched at angle to the horizontal...Ch. 3 - As an expert witness, youre testifying in a case...Ch. 3 - Show that, for a given initial speed, the...Ch. 3 - A basketball player is 15 ft horizontally front...Ch. 3 - Two projectiles are launched simultaneously from...Ch. 3 - Consider the two projectiles in GOT IT? 3.5....Ch. 3 - The portion of a projectiles parabolic trajectory...Ch. 3 - A jet is diving vertically downward at 1200 km/h....Ch. 3 - Your alpine rescue team is using a slingshot to...Ch. 3 - If you can throw a stone straight up to height h....Ch. 3 - In a conversion from military to peacetime use, a...Ch. 3 - A soccer player can kick the ball 28 m on level...Ch. 3 - A diver leaves a 3-m board on a trajectory that...Ch. 3 - Prob. 81PCh. 3 - You're a consulting engineer specializing in...Ch. 3 - Differentiate the trajectory Equation 3.14 to find...Ch. 3 - Your medieval history class is constructing a...Ch. 3 - Generalize Problem 84 to find an expression for...Ch. 3 - (a) Show that the position of a particle on a...Ch. 3 - In dealing with nonuniform circular motion, as...Ch. 3 - Repeat Problem 87, now generalizing to the case...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...
Additional Science Textbook Solutions
Find more solutions based on key concepts
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th Edition)
Write each number in decimal form.
25. 7.68 × 10–1
Applied Physics (11th Edition)
11. (Il) Particles of charge +65, +48, and -95 µC are placed in a line (Fig. 16—52 Q). The center one is 0.35 m...
Physics: Principles with Applications
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) desi...
The Cosmic Perspective Fundamentals (2nd Edition)
Description of Motion: Initially move away from the detector; maintain a constant negative acceleration.
Tutorials in Introductory Physics
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 position of a particle in space at time tis: r(t) = (sec(t)) * i + (tan t) * j + 4/3 tk. Write the particle's velocity at time t = (pi / 6) as the product of its speed and direction.arrow_forwardTwo trains A and B of length 800 m each are moving on two parallel tracks with a uniform speed of 144 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 2 m s-2. If after 100 s, the guard of B just brushes past the driver of A, what was the original distance between them ?arrow_forwardA treasure hunter follows a map moving 25 km [N], 37 km [W 37 degrees S], 63 km [E 65 degrees S] and finally 15 km [N 17 degrees E]. If his average for the entire trip was 45 km/hr, calculate: a. The total time for the trip; and b. The average velocity of the triparrow_forward
- the position of a moving particle is given below where t is the time s(t) =e^t^2 -4t^2 +5 the particle is moving in the positive direction whenn t-1 true or false?arrow_forwardThe motion of an object traveling along a straight path is given by s(t) = zat + Vot + So, where s(t) is the position relative to the origin at time t. For Exercises 53-54, three observed data points are given. Find the values of a, vo, and %3D 53. s(1) = 30, s(2) = 54, s(3) = 82 54. s(1) = -7, s(2) = 12, s(3) = 37arrow_forwardA proton initially has the velocity v=4ı-2j+3k and then 4s later has the velocity v=-2ı-2j+5k (in meters per second). For that 4s find the following quantities; A)the proton's average acceleration aavg in unit-vector notation. B)the magnitude of aavg C) the angle between aavg and the positive direction of the x axis.arrow_forward
- how much time would it take you to cover the61-m length of the walkway if, once you get on the walkway, youimmediately turn around and start walking in the opposite direction with a speed of 1.3 m>s relative to the walkway?arrow_forwardA particle moving in xy plane has acceleration vector (VE,) for all tz O. The particle is at rest at time t = 0. How fast is the particle moving at time t = 3? 1+t2 3.231 3.464 O 1.249 O 3.682arrow_forwardIf a spaceship traveling through deep space with the velocity vector as a function of time: v = (2t i +4t j+ 6t k) m/s. (time is in seconds). Given the initial position of the spaceship is r0= (20 i− 50 j − 100 k ) m. At what time would the spaceship be the closest to the origin? and What would the acceleration of the spaceship be at this instant? If you can express the acceleration in Cartesian vector form. Also ? is the unit vector in the z-direction.arrow_forward
- The velocity of a particle constrained to move along the x-axis as a function of time t is given by: v(t)=−(19/t0)sin(t/t0 C:Now assume that the particle is at x=0 when t=0, and find its position at t = 0.16t0. D:Evaluate v(0)t+a(0)t2/2 at t =0.16t0 to 3 significant figures. Your answers to parts (c) and (d) should be in good agreement. Try to work out why that is so before submitting the answer to part (d) Question C's answer which I just received was wrong.arrow_forwardA particle trajectory is described by x= ( 0.7t -5. 7 t ) m, and y=(1t -4.4 t) m. where t is in seconds. red (1) what is the position of the particle at t = 4.2 s 3.0 tion (2) what is the velocity of the particle at t = 4.2 s )j m/s (3) What is the speed of the particle at t = 3 s m/s us page abus Summary Jump to...arrow_forwardA particle moving along a straight line decelerates according to a = -kv, where k is a constant and v is velocity. If it's initial velocity at time t = 0 is vo=4m/s and its velocity at time t = 2s is v = 1m/s, determine the time t and corresponding distance s for the particle speed to be reduced to one tenth of its initial valuearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY