Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 38AP
A boy throws a stone horizontally from the top of a cliff of height h toward the ocean below. The stone strikes the ocean at distance d from the base of the cliff. In terms of h, d, and g, find expressions for (a) the time t at which the stone lands in the ocean, (b) the initial speed of the stone, (c) the speed of the stone immediately before it reaches the ocean, and (d) the direction of the stone’s velocity immediately before it reaches the ocean.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
While standing on the roof of a building, a child tosses a tennis ball with an initial speed of 16 m/s at an angle of 25° below the horizontal. The ball lands on the ground 3.5 s later. How tall, in meters, is the building?
The eguation r(t)= (3t+ 9) i + (8t - 2) j+(4t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then
write the particle's velocity at t= 0 as a product of its speed and direction.
What is the velocity vector?
v(t) = (D i+ (Di+ k
A baseball is hit into the air at an initial speed of 32.7 m/s and an angle of 49.7° above the horizontal. At the same time, the center
fielder starts running and catches the ball on its way down when the ball is 0.906 m above the level at which it was hit. If the center
fielder is initially 1.11 x 10² m from home plate, what must be his average speed?
Number i
Units
Save for Later
Attempts: 0 of 1 used
Submit Answer
Chapter 4 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 4.1 - Consider the following controls in an automobile...Ch. 4.3 - (i) As a projectile thrown at an upward angle...Ch. 4.3 - Rank the launch angles for the five paths in...Ch. 4.4 - A particle moves in a circular path of radius r...Ch. 4.5 - A particle moves along a path, and its speed...Ch. 4 - Suppose the position vector for a particle is...Ch. 4 - The coordinates of an object moving in the xy...Ch. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - Review. A snowmobile is originally at the point...
Ch. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - A projectile is fired in such a way that its...Ch. 4 - The speed of a projectile when it reaches its...Ch. 4 - Prob. 10PCh. 4 - A firefighter, a distance d from a burning...Ch. 4 - A basketball star covers 2.80 m horizontally in a...Ch. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - Prob. 14PCh. 4 - A home run is hit in such a way that the baseball...Ch. 4 - Prob. 16PCh. 4 - A boy stands on a diving board and tosses a stone...Ch. 4 - In Example 4.6, we found the centripetal...Ch. 4 - The astronaut orbiting the Earth in Figure P4.19...Ch. 4 - An athlete swings a ball, connected to the end of...Ch. 4 - The athlete shown in Figure P4.21 rotates a...Ch. 4 - A tire 0.500 m in radius rotates at a constant...Ch. 4 - (a) Can a particle moving with instantaneous speed...Ch. 4 - A ball swings counterclockwise in a vertical...Ch. 4 - Prob. 25PCh. 4 - The pilot of an airplane notes that the compass...Ch. 4 - You are taking flying lessons from an experienced...Ch. 4 - A car travels due east with a speed of 50.0 km/h....Ch. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - A river flows with a steady speed v. A student...Ch. 4 - You are participating in a summer internship with...Ch. 4 - A farm truck moves due east with a constant...Ch. 4 - A ball on the end of a string is whirled around in...Ch. 4 - Prob. 35APCh. 4 - A particle starts from the origin with velocity...Ch. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - Prob. 41APCh. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - A spring cannon is located at the edge of a table...Ch. 4 - A projectile is launched from the point (x = 0, y...Ch. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - An outfielder throws a baseball to his catcher in...Ch. 4 - Prob. 47APCh. 4 - You are on the Pirates of the Caribbean attraction...Ch. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - A projectile is fired up an incline (incline angle...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - In the What If? section of Example 4.5, it was...Ch. 4 - A fireworks rocket explodes at height h, the peak...
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 projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one-sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large. (b) It is the same. (c) It is 6 times larger. (d) It is 6 times larger. (e) It is 36 times larger.arrow_forwardA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi= 18.0 m/s. The cliff is h = 50.0 m above a body of water as shown in Figure P3.19. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity of the stone? (c) What is the appropriate analysis model for the vertical motion of the stone? (d) What is the appropriate analysis model for the horizontal motion of the stone? (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (f) Write symbolic equations for the position of the stone as a function of time. (g) How long after being released does the stone strike the water below the cliff? (h) With what speed and angle of impact does the stone land?arrow_forwardA person is standing on top of a building. While standing at the edge of the building the person throws a water balloon downward with a speed of 14 m/s and at an angle of 44° below the horizontal. It takes 2.9 s for the water balloon to hit the person's friend. (a) How high is the building in meters? (b) How fast is the water balloon moving when it hits the friend on the ground? Give your answer in m/s. (c) What was the horizontal distance between the friend on the ground and the building in meters?arrow_forward
- An Olympic diver is on a diving platform 4.60 m above the water. To start her dive, she runs off of the platform with a speed of 1.23 m/s in the horizontal direction. What is the diver's speed, in m/s, just before she enters the water? m/sarrow_forwardA soccer ball is kicked from the ground at an angle of θ = 59 degrees with respect to the horizontal. The ball is in the air for a time tm = 1.5 s before it lands back on the ground. What is the total horizontal distance, dm in meters, traveled by the ball in the time, tm?arrow_forwardA baseball is thrown at an angle θ = 22° above the horizontal with an initial vertical velocity v0y = 13.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position. A) Create an expression for the ball’s initial horizontal velocity component, v0x, in terms of v0y, sin(θ), and cos(θ). B) Calculate the initial horizontal velocity component, v0x in m/s. C) Find the ball’s initial velocity magnitude, v0 in m/s.arrow_forward
- A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by the following expressions: 2. x = (18.0 m/s)t and y = (4.00 m/s)t – (4.90 m/s²) t² (a) Write a vector expression for the ball's position as a function of time, using the unit vectors i and j. By taking derivatives, obtain expressions for (b) the velocity vector v as a function of time and (c) the acceleration vector a as a function of time. Next use unit-vector notation to write ex- pressions for (d) the position, (e) the velocity, and (f) the acceleration of the golf ball, all at t = 3.00 s.arrow_forwardA seagull flies horizontally over the ocean at a constant speed of 2.30 m / s carries a small fish in its mouth. He accidentally releases the fish, and 2.15 s after the bird releases it, the fish lands in the ocean. a) Just before reaching the ocean, what is the horizontal component of the fish's velocity in m / s? Ignore air resistance. Assume that the bird initially travels in the positive x direction. (Indicate the direction with the sign of your answer.) b) Just before reaching the ocean, what is the vertical component of the fish's velocity in m / s? Ignore air resistance. Assume that the positive y direction is upward. (Indicate the direction with the sign of your answer.)arrow_forwardA space vehicle is coasting at a constant velocity of 15.4 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.255 m/s² in the +x direction. After 45.7 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction. (a) Number i (b) Number eTextbook and Media Hint Save for Later Units Units Attempts: 0 of 3 used Submit Answerarrow_forward
- A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. ( m/s) + ( m/s) At the maximum height, the speed of the cannon ball is v = m/s and the magnitude of its acceleration is a = m/s2. The time needed to reach maximum height is t = s. The maximum height reached by the cannon ball is H = m.arrow_forwardA cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. ( m/s) + ( m/s) At the maximum height, the speed of the cannon ball is v = m/s and the magnitude of its acceleration is a = m/s2. The time needed to reach maximum height is t = s. The maximum height reached by the cannon ball is H = m.arrow_forwardAn airplane undergoes the following displacements: First, it flies 66 km in a direction 30° east of north. Next, it flies 49 km due south. Finally, it flies 100 km 30° north of west. Using vector components, determine how far the airplane ends up from its starting point. A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2 upwards. After 4.00 seconds the motor turns off, but the rocket continues to coast upward with no appreciable air resistance (deaccelerating). What maximum elevation does the rocket reach during its flight H DELL O Warrow_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
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author: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
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
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