Homework Help is Here – Start Your Trial Now!
Science
Physics
We investigated a jet landing on an aircraft carrier. In a later maneuver, the jet comes in for a landing on solid ground with a speed of 92 m/s, and its acceleration can have a maximum magnitude of 8.75 m/s2 as it comes to rest. (a) From the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest? (b) Can this jet land on a small tropical island airport where the runway is 0.800 km long? (c) Explain your answer. Step 1 We know the initial speed of the jet when it touches the runway, and we know that its final speed is zero. We also know the maximum magnitude that its acceleration can have when it comes to rest. We need to find the stopping distance for the jet and we need to compare this stopping distance to the length of the runway on the island airport. Step 2 We use the maximum acceleration and the initial and final velocities to determine the minimum stopping time. We know the initial and final velocities of the jet and we know the maximum value of its acceleration. We need to find the displacement x,-x-Ax that corresponds to these values. We are given that the length of the runway is 0.800 km. We calculate the minimum stopping distance based on the initial and final velocities and the maximum acceleration of the jet as it comes to rest on the runway. Is the runway long enough for the jet to land safely? Step 3 (a) We use the equation for velocity with constant acceleration. Now, solve fort in the above equation. Substitute the values we know for final velocity v initial velocity and acceleration a 10.51 Solve for Ax. 0 m/s-92✔ 92 m/s -8.75 m/s2 Ax-0.800 -8.75✔ Step 4 (b) We have the following equation in terms of displacement, velocity, and acceleration. v²=²+2a₂(x-x) =v²+2a Ax Now, substitute the values we know into this equation. ✔m/s)2-(92 10.5 ✔m/s)² +28.75 m/s²)Ax x Your response differs from the correct answer by more than 10%. Double check your calculations. km We have found that the stopping distance Ax is less than 0 0.800 km.

We investigated a jet landing on an aircraft carrier. In a later maneuver, the jet comes in for a landing on solid ground with a speed of 92 m/s, and its acceleration can have a maximum magnitude of 8.75 m/s2 as it comes to rest. (a) From the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest? (b) Can this jet land on a small tropical island airport where the runway is 0.800 km long? (c) Explain your answer. Step 1 We know the initial speed of the jet when it touches the runway, and we know that its final speed is zero. We also know the maximum magnitude that its acceleration can have when it comes to rest. We need to find the stopping distance for the jet and we need to compare this stopping distance to the length of the runway on the island airport. Step 2 We use the maximum acceleration and the initial and final velocities to determine the minimum stopping time. We know the initial and final velocities of the jet and we know the maximum value of its acceleration. We need to find the displacement x,-x-Ax that corresponds to these values. We are given that the length of the runway is 0.800 km. We calculate the minimum stopping distance based on the initial and final velocities and the maximum acceleration of the jet as it comes to rest on the runway. Is the runway long enough for the jet to land safely? Step 3 (a) We use the equation for velocity with constant acceleration. Now, solve fort in the above equation. Substitute the values we know for final velocity v initial velocity and acceleration a 10.51 Solve for Ax. 0 m/s-92✔ 92 m/s -8.75 m/s2 Ax-0.800 -8.75✔ Step 4 (b) We have the following equation in terms of displacement, velocity, and acceleration. v²=²+2a₂(x-x) =v²+2a Ax Now, substitute the values we know into this equation. ✔m/s)2-(92 10.5 ✔m/s)² +28.75 m/s²)Ax x Your response differs from the correct answer by more than 10%. Double check your calculations. km We have found that the stopping distance Ax is less than 0 0.800 km.

College Physics
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
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
7:29 Search We investigated a jet landing on an aircraft carrier. In a later maneuver, the jet comes in for a landing on solid ground with a speed of 92 m/s, and its acceleration can have a maximum magnitude of 8.75 m/s² as it comes to rest. (a) From the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest? (b) Can this jet land on a small tropical island airport where the runway is 0.800 km long? (c) Explain your answer. Step 1 We know the initial speed of the jet when it touches the runway, and we know that its final speed is zero. We also know the maximum magnitude that its acceleration can have when it comes to rest. We need to find the stopping distance for the jet and we need to compare this stopping distance to the length of the runway on the island airport. 10.47 Step 2 We use the maximum acceleration and the initial and final velocities to determine the minimum stopping time. We know the initial and final velocities of the jet and we know the maximum value of its acceleration. We need to find the displacement x,- x,- Ax that corresponds to these values. We are given that the length of the runway is 0.800 km. We calculate the minimum stopping distance based on the initial and final velocities and the maximum acceleration of the jet as it comes to rest on the runway. Is the runway long enough for the jet to land safely? Step 3 (a) We use the equation for velocity with constant acceleration. V=V+at Now, solve for t in the above equation. Substitute the values we know for final velocity v initial velocity Vand acceleration a, a. -10.51✔ (0 Solve for Ax. 0 m/s 0 m/s 92✔ 92 92 m/s -8.75 m/s2 -8.75 ✓ Step 4 (b) We have the following equation in terms of displacement, velocity, and acceleration. v²=v²+2a₂(x-x) = v₁² + 2a, Ax Now, substitute the values we know into this equation. ✔m/s)²-(92 10.5 s ✔m/s)2 + 2( -8.75 и ✔m/s2)Ax Ax- 0.800 x Your response differs from the correct answer by more than 10%. Double check your calculations. km We have found that the stopping distance Ax is less than 0.800 km. EP
Transcribed Image Text:7:29 Search We investigated a jet landing on an aircraft carrier. In a later maneuver, the jet comes in for a landing on solid ground with a speed of 92 m/s, and its acceleration can have a maximum magnitude of 8.75 m/s² as it comes to rest. (a) From the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest? (b) Can this jet land on a small tropical island airport where the runway is 0.800 km long? (c) Explain your answer. Step 1 We know the initial speed of the jet when it touches the runway, and we know that its final speed is zero. We also know the maximum magnitude that its acceleration can have when it comes to rest. We need to find the stopping distance for the jet and we need to compare this stopping distance to the length of the runway on the island airport. 10.47 Step 2 We use the maximum acceleration and the initial and final velocities to determine the minimum stopping time. We know the initial and final velocities of the jet and we know the maximum value of its acceleration. We need to find the displacement x,- x,- Ax that corresponds to these values. We are given that the length of the runway is 0.800 km. We calculate the minimum stopping distance based on the initial and final velocities and the maximum acceleration of the jet as it comes to rest on the runway. Is the runway long enough for the jet to land safely? Step 3 (a) We use the equation for velocity with constant acceleration. V=V+at Now, solve for t in the above equation. Substitute the values we know for final velocity v initial velocity Vand acceleration a, a. -10.51✔ (0 Solve for Ax. 0 m/s 0 m/s 92✔ 92 92 m/s -8.75 m/s2 -8.75 ✓ Step 4 (b) We have the following equation in terms of displacement, velocity, and acceleration. v²=v²+2a₂(x-x) = v₁² + 2a, Ax Now, substitute the values we know into this equation. ✔m/s)²-(92 10.5 s ✔m/s)2 + 2( -8.75 и ✔m/s2)Ax Ax- 0.800 x Your response differs from the correct answer by more than 10%. Double check your calculations. km We have found that the stopping distance Ax is less than 0.800 km. EP
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
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
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS