Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 68P
A projectile launched at angle θ to the horizontal reaches mum height h. Show that its horizontal range is 4h/tan θ.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The artillery gun with a muzzle velocity of vo=150m/s is fired at the slope of the
mountain at horizontal and vertical distance of 980m and 400m. The gun was shot
at the smallest angle possible to achieve this goal.
At the point where it hits the mountain the projectile trajectory makes, angle awith
the horizontal angle.
Find tan a to the nearest thousandth.
A projectile is launched at an angle of 45 degrees with respect to the horizontal ground. What is the range of the projectile if it was launched at a speed of 180 ft/s?
A projectile launcher can launch a projectile with a speed of 38 m/s. At what angle should a projectile be launched to hit a target at a height 17 m a horizontal distance 20 m away?
Chapter 3 Solutions
Essential University Physics: Volume 1 (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
9. If you kick a football, at what angle to the ground should you kick the ball for the maximum range—that is, ...
College Physics: A Strategic Approach (4th Edition)
The magnitude of the electric field in the capacitor.
Physics (5th Edition)
44. Three resistors having resistances of 1.60 Ω, 2.40 Ω, and 4.80 Ω are connected in parallel to a 28.0 V batt...
College Physics (10th Edition)
A conducting loop with area 0.15 m2 and resistance 6.0 lies in the xy plane. A spatially uniform magnetic fiel...
Essential University Physics: Volume 2 (3rd Edition)
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)
65. An astronaut lands on a planet that has the same mass as Earth and twice the diameter. How does the astrona...
Conceptual Physical Science (6th 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 plane is travelling horizontally at 1500 km/h. A rocket is fired horizontally ahead from the plane at an angle of 6.0o from the direction of the plane and with a velocity of 2000 km/h. What is the resultant velocity of the rocket?arrow_forwardAn archer aims at a target. Suppose the archer’s arrow is 1.2m above the ground, the bull’s eye is 43m away and at aheight of 1.8m, and she can shoot the arrow at an initial speed of 28m/s. It is a calm day with nowind so you ignore air resistance. At what angle should she aim her arrow to hit the bull’s eye?arrow_forwardA shooter aims horizontally at a target at the unknown distance d: the same height as the shooter with the initial bullet speed vo. Th bullet misses the target by the vertical distance h. What was the distance d? Calculate its numerical value for v0 = 1500 m/s and h=1.5 cm.arrow_forward
- I need the answer as soon as possiblearrow_forward1) A projectile is launched at 300 ?/s at an angle of 60 degrees.The projectile lands 500 m below its starting level in a valley. What is the horizontal Range for the projectile?arrow_forwardAn object is projected at an angle of 600 with the horizontal with an initial velocity of 15 m/s. Hoow long does it take for the object to reach the peak of its trajectory?arrow_forward
- A projectile is launched horizontally from the top edge of a 20m tall building with a vxo of 25m/s. Ignoring air resistance, how far away horizontally from the edge of the building will the projectile hit the ground?arrow_forwardA projectile is launched with an initial velocity v at an angle of theta with respect to the x axis. Calculate vox, voy, t, ymax, xmax if: v0 theta 1.25E+02 6.00E+01arrow_forwardMikasa launched a thunder spear from the rooftop of a building (50-m high) at a velocity of 10 m/s with an angle of 45° from the horizontal. If the projectile lands on the nape of the Beast Titan (40-m high fro the ground), how far (horizontally in meters) is the building from the titan?arrow_forward
- If the projectile is intended to hit a targe + 17.3 m downrange (delta x), how tall should the launcher be? If vi = 14 m/s, degree is 60 (above the horizontal point up) What is vi x = ?, what is vi y = ?arrow_forwardIf C = 8 m at 53°, and D = 19 m at 147°, what is the magnitude of the sum of these two vectors (in m)?arrow_forwardA soccer player can kick the ball 30 m on level о ground, with its initial velocity at 37 ° to the horizontal. At the same initial speed and angle to the horizontal, what horizontal distance can the player kick the ball on a 13° upward slope?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