Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 73P
The table below lists position versus time for an object moving in the x-y plane, which is horizontal in this case. Make a plot of position y versus x to determine the nature of the object’s path. Then determine the magnitudes of the object’s velocity and acceleration.
Time, t (s) | x (m) | y (m) | Time, t (s) | x (m) | y (m) |
0 | 0 | 0 | 0.70 | 2.41 | 3.15 |
0.10 | 0.65 | 0.09 | 0.80 | 2.17 | 3.75 |
0.20 | 1.25 | 0.33 | 0.90 | 1.77 | 4.27 |
0.30 | 1.77 | 0.73 | 1.00 | 1.25 | 4.67 |
0.40 | 2.17 | 1.25 | 1.10 | 0.65 | 4.91 |
0.50 | 2.41 | 1.85 | 1.20 | 0.00 | 5.00 |
0.60 | 2.50 | 2.50 |
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A football is placed at rest on the field with initial coordinates x0 = 0 and y0 = 0. The ball is then kicked and thereby given an initial velocity of magnitude v0 = 23.6 m/s and direction θ0 = 36.3o above the horizontal. Ignore the effects of air resistance.
Initial horizontal component of the velocity v0x =
Initial vertical component of the velocity v0y =
Horizontal component of the acceleration ax =
Vertical component of the acceleration ay =
Enter the equation for the horizontal position versus time, x(t) =
Enter the equation for the vertical position versus time, y(t) =
Enter the equation for the horizontal velocity versus time, vx(t) =
Enter the equation for the vertical velocity versus time, vy(t) =
Enter the equation for the total velocity versus time, v(t) =
Enter the equation for the angle of the velocity vector versus time, θ(t)=
Enter the maximum height of the football
Enter the range of the football
Enter the time it takes for the football to reach its maximum…
The velocity of a particle moving in the x-y plane is given by (6.98i + 6.68j) m/s at time t = 7.60 s. Its average acceleration during the next 0.014 s is (4.1i + 5.4j) m/s2. Determine the velocity v of the particle at t = 7.614 s and the angle θ between the average-acceleration vector and the velocity vector at t = 7.614 s.Answers:v = ( _____ i + _____ j) m/sθ = _____ °
An object takes 0.5 s to go from point 1 to point 2 in the graph in the picture. Given the velocity components on the graph, find the magnitude of the average acceleration vector of the object as it moves from point 1 to point 2
a) 4.47 m/s^2
B)6.97 m/s^2
C) 5.28 m/s^2
D) 3.46 m/s^2
Chapter 3 Solutions
Essential University Physics
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 - 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 walk 1.57 km north, then 0.846 km cast. Find...Ch. 3 - An ion in a mass spectrometer follows a...Ch. 3 - Prob. 13ECh. 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 - Prob. 19ECh. 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 object is moving in the x-direction at 1.3 m/s...Ch. 3 - Prob. 26ECh. 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 - Determine the acceleration of the Moon, which...Ch. 3 - Global Positioning System (GPS) satellites circle...Ch. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47ECh. 3 - Prob. 48ECh. 3 - Prob. 49ECh. 3 - Prob. 50ECh. 3 - Prob. 51ECh. 3 - Vector has magnitude 1.0 m and points 35°...Ch. 3 - Let A = 15 40 and B = 31 + 18k. Find C such that...Ch. 3 - You’re a pilot beginning a 1280-km flight to a...Ch. 3 - A particles position is r = (ct2 2dt3) + (2ct2 ...Ch. 3 - Prob. 56PCh. 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 - A delivery drone approaches a customer’s porch,...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 - 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 - A projectile is launched from the edge of a table,...Ch. 3 - Consider the two projectiles in GOT IT? 3.5....Ch. 3 - In the 2015 film The Martian, astronauts ride the...Ch. 3 - Your car can sustain an acceleration of 0.825g...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. 87PCh. 3 - You're a consulting engineer specializing in...Ch. 3 - Prob. 89PCh. 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 - Prob. 93PCh. 3 -
After launch, a projectile lands.a horizontal...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
42. Change 35 dm to dam.
Applied Physics (11th Edition)
17. What is the tension in the rope of Figure EX7.17?
Figure EX7.17
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
The voltage that the generator produces at 60 Hz . The way to change the voltage to 120 V.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
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)
Two identical bubbles of gas form at the bottom of a lake, then rise to the surface. Because the pressure is mu...
An Introduction to Thermal Physics
3. A football coach sits on a sled while two of his players build their strength by dragging the sled across ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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 cheetah is squatted 25m to the east of a vehicle. At time t = 0 the cheetah begins to run due east toward an antelope that is 55m to the east of the vehicle. During the first 2.0 s of the chase,the cheetah’s x-coordinate varies with time according to the equationx = 25m + (4.5m/s2)t2. (a) Find the cheetah’s displacement between t1= 1.5s and t2= 3.0 s. (b) Find its average velocity during that interval. (c) Find its instantaneous velocity at t= 2.5s by taking Δt = 0.15s.arrow_forwardx(t)=7.0 t^3 y(t) = 4.o t^2 - 2.1 t (1) Write a vector expression for the ball’s position as a function of time ? (2) Write a vector expression for the ball’s velocity as a function of time ?(3) Write a vector expression for the ball’s acceleration as a function of time ? (4) What is the distance of the space shuttle to the base 1 minute after it has been launched ?arrow_forwardA collie moves from a coordinate of x=-2m, y= 3m, z=1m to a coordinate of x=5m,y=6m,z=3m in a time of 2 seconds. What was the average speed of the collie during this time? A) 4.2 m/s B)2.1m/s c) 0.85 m/s D) 3.4 m/s e) it is impossible to determine with the information given.arrow_forward
- A manhwa artist draw an animation in which a dot on a computer screen has a position of r = [5.0 cm + (3.5 m/s2) t2] i + (5.0 cm/s) t j. a) Find the magnitude and direction of the dot’s average velocity between t = 0 and t = 2.0 s. b) Find the magnitude and direction of the instantaneous velocity at t = 0, t = 1.0 s, and t = 2.0 s.arrow_forwardA spaceship is traveling at a constant velocity of v(t) = 300.0i m/s when its rockets fire, giving it an acceleration of a(t) = (9.0i + 9.0k) m/s^2. What is its velocity (in m/s) 4 s after the rockets fire? (Express your answer in vector form.)arrow_forwardOn a spacecraft, two engines are turned on for 832 s at a moment when the velocity of the craft has x and y components of v0x = 5820 m/s and v0y = 4480 m/s. While the engines are firing, the craft undergoes a displacement that has components of x = 4.43 x 106 m and y = 6.22 x 106 m. Find the (a) x and (b) y components of the craft's acceleration.arrow_forward
- An animal has a coordinates of (1.1 m, 3.4 m) at time t1 = 0 and when t2= 3.0 s, it is located at (5.3 m, -0.5 m). For this time interval, find (a) the components of the average velocity, and (b) the magnitude and direction of the average velocity.arrow_forwardAt an air show, a jet plane has velocity components vx= 695km/h and v y =415km/h at time 4.35 s and v x =938km/h and V y =365km/h at time 7.52s. A)For this time interval, find the xxx component of the plane's average acceleration. b)For this time interval, find the yyy component of the plane's average acceleration. C)For this time interval, find the magnitude of its average acceleration. D)For this time interval, find the direction of its average acceleration.arrow_forwardA dog running in an open field has components of velocity vx = 2.6 m/s and vy = -1.2 m/s at time t1 = 11.7 s . For the time interval from t1 = 11.7 s to t2 = 22.8 s, the average acceleration of the dog has magnitude 0.49 m/s^2 and direction 25.0 measured from the +x−axis toward the +y−axis. At t2, what is the x component, y component, and magnitude of the dog's velocity? What is the direction of the dogs velocity?arrow_forward
- On a spacecraft two engines fire for a time of 389 s. One gives the craft an acceleration in the x direction of ax = 3.41 m/s^2, while the other produces an acceleration in the y direction of ay = 7.34 m/s^2. At the end of the firing period, the craft has velocity components of vx = 1860 m/s and vy = 4290 m/s. Find the (a) magnitude and (b) direction of the initial velocity. Express the direction as an angle with respect to the +x axis.arrow_forwardA projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t seconds after launch is f(t), given in the following table. x 0 5 10 15 20 25 30 f(x) 234 215 196 169 150 120 109 a) How fast is the projectile traveling 15 seconds after launch? feet per second. b) How far does the projectile move between 5 seconds and 25 seconds?Estimate feet. c) How far does the projectile move between 0 seconds and 15 seconds?Estimate feet.arrow_forwardAn object has position given by the vector r = [3.0m + (6.0m/s)t] i + [2.0m - (2.0m/s2)t2] j, where quantities are in SI units. What is the speed of the object at t = 3.0s?arrow_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