You fire a ball with an initial speed vo at an angle ø above the surface of an incline, which is itself inclined at an angle 0 above the horizontal (a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. (b) What angle ø gives the maximum range, measured along the incline? Ignore air resis- tance.

You fire a ball with an initial speed vo at an angle ø above the surface of an incline, which is itself inclined at an angle 0 above the horizontal (a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. (b) What angle ø gives the maximum range, measured along the incline? Ignore air resis- tance.

Name: You fire a ball with an initial speed v at an angle o above the surfa
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: You fire a ball with an initial speed v at an angle o above the surface of anincline, which is itself inclined at an angle 0 above the horizontal(a) Find the distance, measured along the incline, from the launch point to the point whenthe ball strik

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A batter hits a pitched ball when the center of the ball is 1.37 m above the ground.The ball leaves…

Q: A batter hits a pitched ball when the center of the ball is 1.31 m above the ground.The ball leaves…

A: Range of the projectile is given by, R = vo2gsin2θ Substituting the known values, we have 102 =…

Q: A projectile is fired from a platform that is moving horizontally with velocity V = (V, 0, 0). The…

Q: An archer fires an arrow at a target that is a horizontal distance d = 95 m away; the bull’s-eye of…

A: Given : horizontal distance (d) = 95 m lnitial speed (U) = 34 m/s

Q: In case (a), the baseball player stands relatively stationary and throws the ball with the initial…

A: The given data are listed below with appropriate variables. Here, u denotes the ball’s initial…

Q: When a projectile is fired with a velocity of 815 m/s at an angle of 37º above the horizontal, the…

A: The maximum height of a projectile is given by H=u2 sin2θ2g

Q: What is the velocity of the projectile when the maximum height is 0.946m at an angle of 90 degrees

A: Given Maximum height of projectile is H=0.946 m Angle is θ=90o Acceleration due to gravity is g=9.80…

Q: The pitcher in a softball game throws a ball with an initial velocity Vọ of 72 kmh at an angle a…

Q: An army captain wants to fire an artillery shell deep into the enemy's flank. However, he knows that…

A: This is a problem of projectile motion. The maximum height of the shell is H. The muzzle velocity of…

Q: You fire a ball with an initial speed of vo at an angle o above the surface of an incline, which is…

A: Given : Initial speed v0 Angle ϕ at maximum range Horizontal angle θ

Q: While you are on lookout duty at your fortress, you spot an enemy ship moving directly towards you…

A: Given: The speed of enemy ship is 15 m/s. The distance of enemy ship when shell is fired is 1.5 km.…

Q: vo Jewell threw a ball into the air in the direction of a wall that was a distance d = 8.4 meters in…

A: Given Information:- Distance of the wall from Jewell is d=8.4 m Initial height of the ball is h=1.7…

Q: the projectile is intended to hit a targe + 17.3 m downrange (delta x), how tall should the launcher…

Q: From the window of a building, a ball is tossed from a height y, above the ground with an initial…

A: Since you have uploaded a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A projectile is fired with a speed of 15m/s at an angle of elevation of 30 degrees above the…

A: Given:- A projectile is fired with a speed of v = 15m/s at an angle of elevation of θ=30 degrees…

Q: A projectile is launched with an initial velocity of 60.0 m/s at an angle of 30° above the…

A: (a) Given: The initial velocity of the projectile is 60 ms. The angle of launch is 30∘. The time…

Q: An airplane is flying at a speed of 2.00 × 102 m/s in level flight at an altitude of 8.00 × 102 m. A…

A: Since you already Understood part (a) and (b) and only need help with part (c), I will explain how…

Q: A batter hits a pitched ball when the center of the ball is 1.39 m above the ground.The ball leaves…

Q: During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the…

A: The magnitude of the ball's initial horizontal velocity is, v0x=v0cosθ

Concept explainers

Projectile Motion

Topic Video

Question

You fire a ball with an initial speed v at an angle o above the surface of an
incline, which is itself inclined at an angle 0 above the horizontal
(a) Find the distance, measured along the incline, from the launch point to the point when
the ball strikes the incline.
(b) What angle ø gives the maximum range, measured along the incline? Ignore air resis-
tance.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

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

From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.90 m/s and angle of 25.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo. Assume SI units. Do not substitute numerical values; use variables only.) x₁ = 0 Y₁ = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. Vi,x= Vi, y = (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: yo and t. Assume SI units.) X = y = X m m/s m/s m m (d) How far horizontally from the base of the building does the ball strike the ground? (e) Find the height from which the ball was thrown. m (f) How long does it take the ball to reach a point 10.0 m below the…
A projectile is fired from the ground level at an initial angle of 80° above the horizontal and travels 14 meters away (horizontal distance) from its starting position. (t is measured in seconds.) (a) Calculate its initial speed. Round your answer to the nearest tenth. (b) Calculate its maximum height above the ground level. Round your answer to the nearest tenth.
A football kicker can give the ball an initial speed of 25.0 m/s. What are the (a) least and (b) greatest elevation angles at which he can kick the ball to score a field goal from a point 50.0 m in front of goalposts whose horizontal bar is 3.44 m above the ground? When doing this, you may want to research some trig identities to get a formula involving only tangent functions. Also, since there are two values of angle that will work, maybe the quadratic formula is involved.
Danielle launches a ball off of a platform of height h with velocity vo at an angle 0 above the horizontal. A wall with a ball-sized hole a height H above the floor, with H > h, is a horizontal distance L = 24.0 m away from Danielle. The difference in height between H and h is one-twelfth of L, and the square of the magnitude of the velocity, v, is three-halves of the product gL. H 1 H – h = h 3 L Determine the two values of 0 that ensure the ball passes through the hole. Submit the larger angle as 0, and the smaller angle as 02.
From the window of a building, a ball is tossed from a height y, above the ground with an initial velocity of 9.10 m/s and angle of 25.0° below the horizontal. It strikes the ground 6.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo: Assume SI units. Do not substitute numerical values; use variables only.) X; = Y; = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. V m/s m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: Yo and t. Assume SI units.) X = m y = m (d) How far horizontally from the base of the building does the ball strike the ground? (e) Find the height from which the ball was thrown. m (f) How long does it take the ball to reach a point 10.0 m below the level of launching? S
The banded archerfish is a species of fish that lives in mangrove estuaries in Asia and Oceania. It has a unique and highly effective hunting strategy: it shoots an incredibly precise stream of water out of its mouth at almost ten meters per second, knocking insects and other small animals into the water from nearby branches! Pom Fbug (t) Ө = Our hero, a hungry archerfish, has spotted a big, delicious bug sitting on a branch a height ħ above the surface of the water. The archerfish can shoot its water jet at a speed of vo. The archerfish wants to knock the bug sideways off of the branch, so it decides to shoot so that its water jet is moving horizontally at the moment when it strikes the bug. The final goal of this problem is to find the horizontal distance, d, from the branch, and the angle above horizontal, 0, at which archerfish should shoot. d (a) What are the position and velocity of the water droplet as a function of time and the position and velocity of the bug as a function of…
Please see att
From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.50 m/s and angle of 21.0° below the horizontal. It strikes the ground 6.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: yo: Assume SI units. Do not substitute numerical values; use variables only.) X; = Y = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. Vi, x Vi, y = m/s %3D %3D m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: yo and t. Assume SI units.)
A fireworks show is choreographed to have two shells cross paths at a height of 138 feet and explode at an apex of 180 feet under normal weather conditions. If the shells have a launch angle 9 = 61° above the horizontal, determine the common launch speed n for the shells, the separation distance dbetween the launch points A and B. and the time tfrom launch at which the shells explode. Determine the time t; from launch to when the paths cross. 42' 138' Vo e B d- Answer: t = sec
A gun is mounted on a cliff a distance (h) above a level field. It fires a projectile with a velocity (v0) at an angle above the horizontal (a). Find the horizontal range (R), the distance along the field from the base of the cliff where the projectile lands.
If the cannon is on ground level, (delta y = 0), how far downrange will the projectile land? vi = 19 m/s, degree 45 (above the horizontal, pointing upward) What is the vi x = ? , what is the vi y = ?
A projectile is fired from the ground (you can assume the initial height is the same as the ground) in a field so there are no obstacles in its way. It is fired at an angle of 37 degrees with respect to the horizontal and with an initial speed of 36 m/s. Air resistance is negligible in this situation. Call up the positive y direction, and toward the wall the positive x direction. Maximum height the projectile reaches: 23.948m Projectile speed at max height: 28.751m/s Earliest time when the height of the projectile is half of its maximum value: 0.648s The projectile is fired toward a wall that is a horizontal distance 106.6m from where the projectile was fired. What was the height of the projectile when it hit the wall?