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
Videos
Textbook Question
Chapter 3, Problem 50P
(II) A ball is thrown horizontally form the top of a cliff with initial speed v0 (at t = 0). At any moment, its direction of motion makes an angle θ to the horizontal (Fig. 3–47). Derive a formula for θ as a function of time, t, as the ball follows a projectile’s path.
FIGURE 3–47 Problem 51.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(II) A passenger on a boat moving at 1.70 m/s on a still lake
walks up a flight of stairs at a speed of 0.60 m/s, Fig. 3–43.
The stairs are angled at 45° pointing in the direction of
motion as shown. What is the velocity of the passenger rel-
ative to the water?
0.60 m/s y
45°
V = 1.70 m/s
FIGURE 3-43 Problem 42.
Raindrops make an angle 0 with the vertical when viewed
through a moving train window (Fig. 3–52). If the speed
of the train is vr, what is the speed of the raindrops in the
reference frame of
the Earth in which
they are assumed to
fall vertically?
FIGURE 3-52
Problem 61.
(II) A rescue plane wants to drop supplies to isolated moun-
tain climbers on a rocky ridge 235 m below. If the plane is
traveling horizontally with a speed of 250 km/h (69.4 m/s),
how far in advance of the recipients (horizontal distance)
must the goods be dropped (Fig. 3–38)?
Vx0
"Dropped"
(vyo=0)
235 m
FIGURE 3-38 Problem 31.
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
Match the following examples of mutagens. Column A Column B ___a. A mutagen that is incorporated into DNA in pl...
Microbiology: An Introduction
For the generic equilibrium HA(aq) ⇌ H + (aq) + A- (aq), which of these statements is true?
The equilibrium con...
Chemistry: The Central Science (14th Edition)
Contrast the fertility of an allotetraploid with an autotriploid and an autotetraploid.
Concepts of Genetics (12th Edition)
Explain how you can determine whether fault N is older or younger than igneous intrusion J.
Applications and Investigations in Earth Science (9th Edition)
What is the difference between cellular respiration and external respiration?
Human Physiology: An Integrated Approach (8th Edition)
20. For each pedigree shown,
a. Identify which simple pattern of hereditary trans-mission (autosomal dominant,...
Genetic Analysis: An Integrated Approach (3rd 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
- (II) Extreme-sports enthusiasts have been known to jump off the top of El Capitan, a sheer granite cliff of height 910 m in Yosemite National Park. Assume a jumper runs horizontally off the top of El Capitan with speed 4.0 m/s and enjoys a free fall until she is 150 m above the valley floor, at which time she opens her parachute (Fig. 3–37). (a) How long is the jumper in free fall? Ignore air resis- tance. (b) It is important to be as far away from the cliff as possible before opening the parachute. How far from the cliff is this jumper when she opens her chute? 4.0 m/s 910 m 150 m FIGURE 3-37 Problem 26.arrow_forwardA projectile is launched from ground level to the top of a cliff which is 195 m away and 135 m high (see Fig. 3–56). If the projectile lands on top of the cliff 6.6 s after it is fired, find the initial velocity of the projectile (magnitude and direction). Neglect air resistance. Landing point 135 m vo FIGURE 3–56 Problem 70. 195 marrow_forwardA baseball player hits a ball that soars high into the air. After the ball has left the bat, and while it is P traveling upward (at point P in Fig. 3–31), what is the direction of acceleration? Ignore air resistance. FIGURE 3-31 (a) (b) (c) MisConceptual Question 5.arrow_forward
- - (II) A child, who is 45 m from the bank of a river, is being carried helplessly downstream by the river's swift current of 1.0 m/s. As the child passes a lifeguard on the river's bank, the lifeguard starts swimming in a straight line (Fig. 3–46) until she reaches the child at a point downstream. If the lifeguard can swim at a speed of 2.0 m/s relative to the water, how long does it take her to reach the child? How far downstream does the lifeguard intercept the child? 1.0 m/s 2.0 m/s - 45 m FIGURE 3-46 Problem 49.arrow_forward(I) Huck Finn walks at a speed of 0.70 m/s across his raft (that is, he walks perpendicular to the raft's motion relative to the shore). The heavy raft is traveling down the Mississippi River at a speed of 1.50 m/s relative to the river bank (Fig. 3–42). What is Huck's velocity (speed and direction) relative to the river bank? 0.70 m/s River current FIGURE 3-42 Problem 39.arrow_forward(II) A person in the passenger basket of a hot-air balloon throws a ball horizontally outward from the basket with speed 10.0 m/s (Fig. 3–44). What initial velocity (magni- tude and direction) does the ball have relative to a person standing on the ground (a) if the hot-air balloon is rising at 3.0 m/s relative to the ground during this throw, (b) if the hot-air balloon is descending at 3.0 m/s relative to the ground? 10.0 m/s FIGURE 3-44 Problem 43.arrow_forward
- A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of 65.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3–51. (a) Deter- mine the time taken by the projectile to hit point P at ground level. (b) Determine the distance X of point P from the base of the vertical cliff. At the instant just before the projectile hits point P, find (c) the horizontal and the vertical components of its velocity, (d) the magnitude of the velocity, and (e) the angle made by the velocity vector with the horizontal. (f) Find the maximum height above the cliff top reached by the projectile. vo = 65.0 m/s 35.0° h = 115 m X- FIGURE 3-51 Problem 59.arrow_forward(II) Determine the speed of the boat with respect to theshore in Example 3–10.arrow_forward(II) An airplane is traveling 835 km/h in a direction 41.5° west of north (Fig. 3–34). (a) Find the components of the velocity vector the northerly and westerly direc- (835 km/h) tions. (b) How far N in 41.5° north and how far W E west has the plane traveled after 1.75 h? FIGURE 3-34 Problem 8. Sarrow_forward
- 1. A basketball is shot from an initial height of 2.40 m (Fig. 3–57) with an initial speed vo = 12 m/s directed at an angle 00 = 35° above the horizontal. (a) How far from the basket was the player if he made a basket? (b) At what angle to the horizontal did the ball enter the basket? FIGURE 3–57 Problem 71. vo = 12 m/s 35° 10 ft = 3.05 m 2.40 m x = ?arrow_forward(b) A particle moves with position y = 2x , where x and y are in meters. The velocity in x direction is v, = 31² . Determine the velocity at time t = 5 s and write in unit vectors.arrow_forward(I) A car is driven 225 km west and then 98 km southwest (45°). What is the displacement of the car from the point of origin (magnitude and direction)? Draw a diagram.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
GCSE Physics - Vector Diagrams and Resultant Forces #43; Author: Cognito;https://www.youtube.com/watch?v=U8z8WFhOQ_Y;License: Standard YouTube License, CC-BY
TeachNext | CBSE Grade 10 | Maths | Heights and Distances; Author: Next Education India;https://www.youtube.com/watch?v=b_qm-1jHUO4;License: Standard Youtube License