College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 10P
A rock is thrown upward from the level ground in such a way that the maximum height of its flight is equal to its horizontal range R. (a) At what angle θ is the rock thrown? (b) In terms of the original range R, what is the range Rmax the rock can attain if it is launched at the same speed but at the optimal angle for maximum range? (c) Would your answer to part (a) be different if the rock is thrown with the same speed on a different planet? Explain.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A football is punted from the ground, it passes through the apex of its flight, and it begins its downward decent. When its height above the field is h = 2.5m, the horizontal and vertical components of its velocity are observed to have the values v(horizontal) = 15 m/s and v(vertical) = 2.5 m/s, respectively. Use a Cartesian coordinate system with the origin located ar the inital position of the football. Ignore air resistance. Calculare the time, in seconds, from when the football left the ground until it is descending at a height of h = 2.5m.
A projectile is fired with an initial speed of 40 m/s at angle of 23 degrees above the horizontal on a long flat firing range. Determine (1) the maximum vertical distance reached by the projectile, (2) the total time in the air, (3) the range of the projectile, (4) the velocity of the projectile 2 s after firing.
A rugby player passes the ball 9.75 m across the field, where it is caught at the same height as it left his hand. At what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used?
(Answer in Degrees)
What other angle gives the same range?
(Answer in Degrees)
For the pass using the smaller of the two angles, how long is the ball in the air?
(answer in Seconds)
Chapter 3 Solutions
College Physics
Ch. 3.1 - Which of the following objects cant be...Ch. 3.1 - Consider the following controls in an automobile:...Ch. 3.1 - A girl on a bicycle takes 15.0 s to ride half way...Ch. 3.1 - Suppose you are carrying a ball and running at...Ch. 3.1 - As a projectile moves in its parabolic path, where...Ch. 3 - As a projectile moves in its path, is there any...Ch. 3 - Construct motion diagrams showing the velocity and...Ch. 3 - Explain whether the following particles do or do...Ch. 3 - A ball is projected horizontally from the top of a...Ch. 3 - A projectile is launched with speed v0 at an angle...
Ch. 3 - Determine which of the following moving objects...Ch. 3 - Two projectiles are thrown with the same initial...Ch. 3 - A ball is thrown upward in the air by a passenger...Ch. 3 - A projectile is launched at some angle to the...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A boat is heading due east at speed v when...Ch. 3 - As an apple tree is transported by a truck moving...Ch. 3 - An airplane in a holding pattern flies at constant...Ch. 3 - A hiker walks 2.00 km north and then 3.00 km east,...Ch. 3 - A miniature quadcopter is located at xi = 2.00 m...Ch. 3 - An ant crawls on the floor along the curved path...Ch. 3 - Explain whether the following particles do or do...Ch. 3 - A rabbit is moving in the positive x-direction at...Ch. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - One of the fastest recorded pitches in major...Ch. 3 - The best leaper in the animal kingdom is the puma,...Ch. 3 - A rock is thrown upward from the level ground in...Ch. 3 - A placekicker must kick a football from a point...Ch. 3 - The record distance in the sport of throwing...Ch. 3 - A brick is thrown upward from the top of a...Ch. 3 - From the window of a building, a ball is tossed...Ch. 3 - A car is parked on a cliff overlooking the ocean...Ch. 3 - An artillery shell is fired with an initial...Ch. 3 - A projectile is launched with an initial speed of...Ch. 3 - A fireman d = 50.0 m away from a burning building...Ch. 3 - A playground is on the flat roof of a city school,...Ch. 3 - A cruise ship sails due north at 4.50 m/s while a...Ch. 3 - Suppose a boat moves at 12.0 m/s relative to the...Ch. 3 - A car travels due east with a speed of 50.0 km/h....Ch. 3 - A jet airliner moving initially at 3.00 102 mi/h...Ch. 3 - A Coast Guard cutter detects an unidentified ship...Ch. 3 - A bolt drops from the ceiling of a moving train...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - Suppose a chinook salmon needs to jump a waterfall...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - A river has a steady speed of 0.500 m/s. A student...Ch. 3 - This is a symbolic version of Problem 29. A river...Ch. 3 - How long does it take ail automobile traveling in...Ch. 3 - A moving walkway at an airport has a speed v1 and...Ch. 3 - A boy throws a baseball onto a roof and it rolls...Ch. 3 - You can use any coordinate system you like to...Ch. 3 - Towns A and B in Figure P3.35 are 80.0 km apart. A...Ch. 3 - In a local diner, a customer slides an empty...Ch. 3 - A father demonstrates projectile motion to his...Ch. 3 - Two canoeists in identical canoes exert the same...Ch. 3 - A rocket is launched at an angle of 53.0 above the...Ch. 3 - A farm truck travels due east with a constant...Ch. 3 - (a) If a person can jump a maximum horizontal...Ch. 3 - A ball is thrown straight upward and returns to...Ch. 3 - A home run is hit in such a way that the baseball...Ch. 3 - A 2.00-m-tall basketball player is standing on the...Ch. 3 - A quarterback throws a football toward a receiver...Ch. 3 - The x- and y-coordinates of a projectile launched...Ch. 3 - Spitting cobras can defend themselves by squeezing...Ch. 3 - When baseball outfielders throw the ball, they...Ch. 3 - A hunter wishes to cross a river that is 1.5 km...Ch. 3 - Chinook salmon are able to move upstream faster by...Ch. 3 - A daredevil is shot out of a cannon at 45.0 to the...Ch. 3 - If raindrops are falling vertically at 7.50 m/s,...Ch. 3 - A celebrated Mark Twain story has motivated...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - A golf ball with an initial speed of 50.0 m/s...Ch. 3 - Antlion larvae lie in wait for prey at the bottom...Ch. 3 - One strategy in a snowball fight is to throw a...Ch. 3 - A football receiver running straight downfield at...Ch. 3 - The determined Wile E. Coyote is out once more to...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Check Your Understanding If the line spacing of a diffraction grating d is not precisely known, we can use a li...
University Physics Volume 3
1. What are the temperatures for freezing water on the Celsius and the Fahrenheit scales, respectively? For boi...
Conceptual Physical Science (6th Edition)
Order of Magnitude Estimate. Mathematical Insight 1.3 defines order of magnitude estimates, and in the text we ...
The Cosmic Perspective (9th Edition)
60. The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the dista...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
An electric motor has an effective resistance of 32.0 and an inductive reactance of 45.0 when working under l...
Fundamentals Of Physics - Volume 1 Only
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 football game begins with a kickoff in which the ball travels a horizontal distance of 37 m(approximately 40 yd) and lands at the same level from which it was kicked. If the ball waskicked at an angle of 44 ° above the horizontal, what was its initial speed?arrow_forwardConsider a projectile launched form ground level at an angle of elevation with an initial velocity . The maximum horizontal range is given by xmax=(v 2/0 sin2θ)/g, where g is the acceleration due to gravity. Here is the problem: If a soccer ball is kicked from ground level with an initial velocity of 28 m/sec, what is the smallest positive angle at which the player should kick the ball to reach a teammate 48m down the field? Assume that the ball reaches the teammate at ground level on the fly. Round to the nearest tenth of a degree.arrow_forwardA fireworks show is choreographed to have two shells cross paths at a height of 160 feet and explode at an apex of 200 feet under normal weather conditions. If the shells have a launch angle θ = 60° above the horizontal, determine the common launch speed v0 for the shells, the separation distance d between the launch points A and B, and the time t from launch at which the shells explode.arrow_forward
- A golf ball struck on earth rises to a maximum height of 60 m and hits the ground 230 m away. How high will the same golf ball travel on the moon if the magnitude and direction of its velocity are the same as they were on earth immediately after the ball was hit? Assume that the ball is hit and lands at the same elevation in both cases and that the effect of the atmosphere on the earth is neglected, so that the trajectory in both cases is a parabola. The acceleration of gravity on the moon is 0.165 times that on earth.arrow_forwardFrom the edge of a high cliff overlooking a flat valley, you shoot a cannonball horizontally over the valley with an initial speed of 120 m/s. If the cliff is 400 m above the valley floor, how far does the cannonball travel in the horizontal direction before landing on the ground?arrow_forwardA projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?arrow_forward
- For a projectile fired at an angle of 48 degrees and having an initial velocity of 65 m/s, what is the horizontalarrow_forwardFor a projectile fired at an angle of 48 degrees and having an initial velocity of 65 m/s, what is the horizontal component of the initial velocity?arrow_forwardA fireworks show is choreographed to have two shells cross paths at a height of 104 feet and explode at an apex of 151 feet under normal weather conditions. If the shells have a launch angle θ = 54° above the horizontal, determine the common launch speed v0 for the shells, the separation distance d between the launch points A and B, and the time t from launch at which the shells explode. Determine the common launch speed v0 for the shells.arrow_forward
- For a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (closer to the horizontal) is preferable. When would it be necessary for the archer to use thelarger angle? Why does the punter in a football game use the higher trajectory?arrow_forwardthe leprechaun in the shamrock patch was named O'Malley and since he was disrupted from sitting in his patch he decided to go off and play a round of his favorite sport in where leprechaun kick a gold coin from a tee into a post 317m away. if he kicked the coin at an angle of 60 degree at a velocity of 60 m/s how high was the arch of the rainbow created by the trajectory? how long did it take to get to the pot? the officials in dublin decided to add a goal post to "kick O coin" 300 meters away and so many 33 meters high. would O'Malley's kick have cleared this goal post?arrow_forwardA rugby player passes the ball 9.75 m across the field, where it is caught at the same height as it left his hand. At what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used? What other angle gives the same range? For the pass using the smaller of the two angles, how long is the ball in the air?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