Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 97GP
A ball is shot from the top of a building with an initial velocity of 18 m/s at an angle θ = 42° above the horizontal. (a) What are the horizontal and vertical components of the initial velocity? (b) If a nearby building is the same height and 55 m away, how far below the top of the building will the ball strike the nearby building?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A ball is shot from the top of a building with an initial
velocity of 18 m/s at an angle 0 = 42° above the horizontal.
(a) What are the horizontal and vertical components of the
initial velocity? (b) If a nearby building is the same height
and 55 m away, how far below the top of the building will
the ball strike the nearby building?
A trebuchet (a catapult) is used to launch a fiery projectile towards a castle. The projectile is
5.0 m above the ground when launched at a velocity of 25 m/s at an angle of 35° above the
horizontal. Assuming that the projectile lands on the level ground inside the castle walls
answer the following questions. (a) How long was the projectile in the air? (b) How far
horizontally did the projectile travel from where it was launched to where it hit the ground?
(c) What was the velocity of the projectile just before it hit the ground? (d) Include a
A golfer tees off from the top of a rise, giving the golf ball an initial velocity of 44 m/s at an angle of 28° above the horizontal. The ball
strikes the fairway a horizontal distance of 190 m from the tee. Assume the fairway is level. (a) How high is the rise above the fairway?
(b) What is the speed of the ball as it strikes the fairway?
Chapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 3.2 - Under what conditions can the magnitude of the...Ch. 3.2 - If the two vectors of Example 31 are perpendicular...Ch. 3.3 - What does the incorrect vector in Fig. 36c...Ch. 3.8 - Two balls are thrown in the air at different...Ch. 3.8 - The maximum range of a projectile is found to be...Ch. 3 - One car travels due east at 40 km/h. and a second...Ch. 3 - Can you conclude that a car is not accelerating if...Ch. 3 - Can you give several examples of an objects motion...Ch. 3 - Can the displacement vector for a particle moving...Ch. 3 - During baseball practice, a batter hits a very...
Ch. 3 - If V=V1+V2, is V necessarily greater than V1...Ch. 3 - Two vectors have length V1 = 3.5 km and V2 = 4.0...Ch. 3 - Can two vectors, of unequal magnitude, add up to...Ch. 3 - Can the magnitude of a vector ever (a) equal, or...Ch. 3 - Can a particle with constant speed be...Ch. 3 - Does the odometer of a car measure a scalar or a...Ch. 3 - A child wishes to determine the speed a slingshot...Ch. 3 - In archery, should the arrow be aimed directly at...Ch. 3 - A projectile is launched at an upward angle of 30...Ch. 3 - A projectile has the least speed at what point in...Ch. 3 - It was reported in World War I that a pilot flying...Ch. 3 - Two cannonballs, A and B, are fired from the...Ch. 3 - A person sitting in an enclosed train car, moving...Ch. 3 - If you are riding on a train that speeds past...Ch. 3 - Two rowers, who can row at the same speed in still...Ch. 3 - If you stand motionless under an umbrella in a...Ch. 3 - (I) A car is driven 225 km west and then 78 km...Ch. 3 - (I) A delivery truck travels 28 blocks north, 16...Ch. 3 - (I) If x = 7.80 units and Vy = 6.40 units,...Ch. 3 - (II) Graphically determine the resultant of the...Ch. 3 - (II) V is a vector 24.8 units is magnitude and...Ch. 3 - (II) Figure 336 shows two vectors, A and B. whose...Ch. 3 - (II) An airplane is travelling; 835 km/h m a...Ch. 3 - Prob. 8PCh. 3 - (II) (a) Determine the magnitude and direction of...Ch. 3 - (II) Three vectors are shown in Fig, 338. Their...Ch. 3 - (II) (a) Given the vectors A and B shown in Fig....Ch. 3 - (II) Determine the vector AC, given the vectors A...Ch. 3 - (II) For the vectors shown in Fig. 338, determine...Ch. 3 - (II) For the vectors given in Fig. 338, determine...Ch. 3 - (II) The summit of a mountain. 2450 m above base...Ch. 3 - (III) You are given a vector in the xy plane that...Ch. 3 - (I) The position of a particular particle as a...Ch. 3 - (I) What was the average velocity of the particle...Ch. 3 - (II) What is the shape of the path of the particle...Ch. 3 - (II) A car is moving with speed 18.0m/s due south...Ch. 3 - (II) At t = 0, a particle starts from rest at x =...Ch. 3 - (II) (a) A skier is accelerating down a 30.0 hill...Ch. 3 - (II) An ant walks on a piece of graph paper...Ch. 3 - (II) A particle starts from the origin at t = 0...Ch. 3 - (II) Suppose the position of an object is given by...Ch. 3 - (II) An object, which is at the origin at time t =...Ch. 3 - (II) A particles position as a function of time t...Ch. 3 - (I) A tiger leaps horizontally from a 7.5-m-high...Ch. 3 - (I) A diver running 2.3 m/s dives out horizontally...Ch. 3 - (II) Estimate how much farther a person can jump...Ch. 3 - (II) A fire hose held near the ground shoots water...Ch. 3 - (II) A ball is brown horizontally from the roof...Ch. 3 - (II) A football is kicked at ground level with a...Ch. 3 - (II) A ball thrown horizontally at 23.7 m/s from...Ch. 3 - (II) A shot-putter throws the shot (mass = 7.3 kg)...Ch. 3 - (II) Show that the time retired for a projectile...Ch. 3 - (II) You buy a plastic dart gun, and being a...Ch. 3 - (II) A baseball is hit with a speed of 27,0m/s at...Ch. 3 - (II) In Example 311 we chose the x axis to the...Ch. 3 - (II) A grasshopper hops down a level road. On each...Ch. 3 - (II) Extreme-sports enthusiasts have been known to...Ch. 3 - (II) Here is something to try at a sporting event....Ch. 3 - (II) The pilot of an airplane traveling 170km/h...Ch. 3 - (II) (a) A long jumper leaves the ground at 45...Ch. 3 - (II) A high diver leaves the end of a 5.0-m-high...Ch. 3 - (II) A projectile is shot from the edge of a cliff...Ch. 3 - (II) Suppose the kick in Example 3-7 is attempted...Ch. 3 - (II) Exactly 3.0s after a projectile is fired into...Ch. 3 - (II) Revisit Example 39, and assume that the boy...Ch. 3 - (II) A ball is thrown horizontally form the top of...Ch. 3 - (II) A ball is thrown horizontally from the top of...Ch. 3 - (II) At what projection angle will the range of a...Ch. 3 - (II) A projectile is fired with an initial speed...Ch. 3 - (II) An athlete executing a long jump leaves the...Ch. 3 - (III) A person stands at the base of a hill that...Ch. 3 - (III) Derive a formula for the horizontal range R,...Ch. 3 - (I) A person going for a morning jog on the deck...Ch. 3 - (I) Huck Finn walks at a speed of 0.70m/s across...Ch. 3 - (II) Determine the speed of the boat with respect...Ch. 3 - (II) Two planes approach each other head-on. Each...Ch. 3 - (II) A child, who is 45 m from the bank of a...Ch. 3 - (II) A passenger on a boat moving at 1.70 m/s on a...Ch. 3 - (II) A person in the passenger basket of a hot-air...Ch. 3 - (II) An airplane is heading due south at a speed...Ch. 3 - (II) In what direction should the pilot aim the...Ch. 3 - (II) Two cars approach a street corner at right...Ch. 3 - (II) A swimmer is capable of swimming 0.60 m/s in...Ch. 3 - (II) A swimmer is capable of swimming 0.60m/s in...Ch. 3 - (II) A motorboat whose speed in still water is...Ch. 3 - (II) A boat, whose speed in still water is 2.70...Ch. 3 - (III) An airplane, whose air speed is 580 km/h, is...Ch. 3 - Two vectors, V1 and V2, add to a resultant...Ch. 3 - A plumber slops out of his truck, walks 66 m east...Ch. 3 - On mountainous downhill roads escape routes are...Ch. 3 - A light plane is headed due south with a speed...Ch. 3 - An Olympic long jumper is capable of jumping 8.0...Ch. 3 - Romeo is chucking pebbles gently up to Juliets...Ch. 3 - Raindrops make an angle with the vertical when...Ch. 3 - Apollo astronauts took a nine iron to the Moon and...Ch. 3 - A hunter aims directly at a target (on the same...Ch. 3 - The cliff divers of Acapulco push off horizontally...Ch. 3 - When Babe Ruth hit a homer over the 8.0-m-high...Ch. 3 - The speed of a boat in still water is v. The boat...Ch. 3 - At serve, a tennis player aims to hit the ball...Ch. 3 - Spymaster Chris, flying a constant 208 km/h...Ch. 3 - A basketball leaves a players hands at a height of...Ch. 3 - A particle has a velocity of v=(2.0i+3.5tj)m/s....Ch. 3 - A projectile is launched from ground level to the...Ch. 3 - In hot pursuit, Agent Logan of the FBI must get...Ch. 3 - A boat can travel 2.20 m/s in still water, (a) If...Ch. 3 - A boat is traveling where there is a current of...Ch. 3 - A child runs down a 12 hill and suddenly jumps...Ch. 3 - A basketball is shot from an initial height or 2.4...Ch. 3 - You are driving south on a highway at 25 m/s...Ch. 3 - A rok is kicked horizontally at 15 m/s from a hill...Ch. 3 - A batter hits a fly ball which leaves the bat 0.90...Ch. 3 - A ball is shot from the top of a building with an...Ch. 3 - At t = 0 a batter hits a baseball with an initial...Ch. 3 - (II) Students shoot a plastic ball horizontally...Ch. 3 - (III) A shot-putter throws from a height h = 2.1 m...
Additional Science Textbook Solutions
Find more solutions based on key concepts
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
10. A person pours a cup of hot coffee, intending to drink it 5 minutes later. To have it as hot as possible fo...
College Physics (10th Edition)
Express the unit vectors in terms of (that is, derive Eq. 1.64). Check your answers several ways Also work o...
Introduction to Electrodynamics
A blacksmith heats a 1.1-kg iron horseshoe to 550C, then plunges it into a bucket containing 15 kg of water at ...
Essential University Physics: Volume 1 (3rd Edition)
Answer Problems 3 through 5 by choosing one of the eight labeled acceleration vectors or selecting option I: = ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
14. FIGURE Q4.14 shows four rotating wheels. For each, determine the signs (+ or -) of w and a.
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (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
- Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what Initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7m/s2 .arrow_forwardA rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 30 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s?arrow_forwardAt t = 0, a projectile is launched with an initial speed of 30.0 m/s at an angle of 75.0 degrees above the horizontal. (a) How far from the starting point (in meters) is the projectile at t = 2.00 s? (b) How fast is the projectile moving (in m/s) at t = 2.00 s?arrow_forward
- A football is placed on a line 25 m from the goalpost. The placement kicker kicks the ball directly toward the goalpost, giving it a velocity of 21 m/s at an angle of 47° above the horizontal. The horizontal bar of the goalpost is 3.0 m above the field. How far above or below the horizontal bar of the goalpost will the ball travel?arrow_forwardA projectile is launched from the top of the cliff of height h with initial velocity v0 and launch angle ? with respect to the horizontal. It later hits the ground. Derive an expression for the magnitude and direction angle of the velocity as the object hits the ground in terms of some or all of the variables given in the problem h, v0 , ?, and g.arrow_forwardProblem #1: A cannonball is fired off a cliff at an angle of 25 degrees with respect to the horizontal. The cliff is 80 m high. The initial speed of the rock is 50 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) When the cannonball hits the ground what is the magnitude of its total velocity?arrow_forward
- A guy is standing on a relatively flat surface (h = 0 m). A pesky drone is flying overhead at a height of 120 m above the ground and with a velocity of 15 m/s. The guy gets annoyed and fires an arrow with an initial velocity of 100 m/s the instant the horizontal distance between him and the drone is 5 m. At what angle must he fire the arrow in order to hit the drone? Take the guy's height to be 1.8 m. Just to clarify, would shooting an arrow follow the same rules as a regular projectile motion problem? Thanks.arrow_forwardIgnoring air resistance, the ball is fired from a cannon at an initial velocity of 4.0 m/s, at a 45 degree angle relative to the horizontal direction. If it takes 3.5 seconds for the ball to hit the level ground below, how far from the base of the cliff does the ball land? (i.e. what's the distance traveled in the horizontal direction while the ball is in the air?)arrow_forwardConsider a projectile being launched with an initial speed of 58 m/s at a variety of initial angles. What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 78.3°?arrow_forward
- You launch a ball from a height of 10.0 m so that the horizontal component of its launch (initial) velocity is 2.183 m/s. If it lands on the ground (yf = 0.00 m) a distance of 4.831 m away, what was the original launch velocity (magnitude and angle above the horizontal)?arrow_forwardAn archer aims at a target that is a horizontal distance 55.0 m away and 5.0 m above the ground. The archer launches her arrow from of height of 1.5 m off the ground, and the arrow hits the target. The arrow is completely horizontal after sticking to the target (i.e., the arrow was traveling horizontally just before hitting the target). What was the initial speed of the arrow, in m/s?arrow_forwardA ball will be thrown to hit a target standing on the ground at a distance of 100 m from the roof of a 20 m high building. The shooter stands on the roof near the target of the building. a) What should be the initial velocity of the ball thrown horizontally to hit the target? b) If the ball is thrown at an angle of 37 ° with the horizontal, what should be its initial speed to hit the target?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 LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY