/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 47 The takeoff speed for an Airbus ... [FREE SOLUTION] | 91影视

91影视

The takeoff speed for an Airbus A320 jetliner is 80 m/s. Velocity

data measured during takeoff are as shown.

a. Is the jetliner鈥檚 acceleration constant during takeoff?

Explain.

b. At what time do the wheels leave the ground?

c. For safety reasons, in case of an aborted takeoff, the runway must be three times the takeoff distance. Can an A320 take off safely on a 2.5-mi-long runway?

Short Answer

Expert verified

a. The jetliner's acceleration is a constant with a value of 2.3m/s2.

b. The wheels leave the ground at a time of 34.78s.

c. An A320 cannot take off safely on a 2.5-mi-long runway. It should be at least2.59milong.

Step by step solution

01

Part a; Step 1: Introduction

A table representing data of velocities at different times of an Airbus A320 jetliner is given here.

The take off speed of the jetliner is, u=80m/s

02

Calculation of acceleration

The accelerations of the jetliner at same time interval is the same according to the table as shown below-

a=2310=4620=2.3m/s2

So the acceleration of the jetliner is constant during take off.

03

Part b Step 1: Introduction

We can determine the time when the wheels leave the ground by using the formulav=u+at

04

Determination of time

Consider the wheels leave the ground at time t

Therefore,

v=0+at80=2.3tt=802.3st=34.78s

05

Part C Step 1: Given information

For aborted takeoff, the runway must be three times the takeoff distance to takeoff safely.

06

Explanation

The takeoff distance can be calculated by the equation s=ut+12at2

Initial speed of the jetliner is, u=0

Therefore, the distance of takeoff is,

s=0+0.52.334.782ms=1391.1m

Considering the safety of taking off, the runway should be, x'=31391.1mx'=4173.3mx'=2.59mi

Hence, it is not safe to takeoff in a 2.5milong runway as at least the runway should be2.59milong.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A rock is dropped from the top of a tall building. The rock鈥檚 displacement in the last second before it hits the ground is 45% of the entire distance it falls. How tall is the building?

The Starship Enterprise returns from warp drive to ordinary

space with a forward speed of 50 km/s. To the crew鈥檚 great surprise,

a Klingon ship is 100 km directly ahead, traveling in the

same direction at a mere 20 km/s. Without evasive action, the

Enterprise will overtake and collide with the Klingons in just

slightly over 3.0 s. The Enterprise鈥檚 computers react instantly to

brake the ship. What magnitude acceleration does the Enterprise

need to just barely avoid a collision with the Klingon ship?

Assume the acceleration is constant.

Hint: Draw a position-versus-time graph showing the motions

of both the Enterprise and the Klingon ship. Let x0 = 0 km be

the location of the Enterprise as it returns from warp drive. How

do you show graphically the situation in which the collision is

鈥渂arely avoided鈥? Once you decide what it looks like graphically,

express that situation mathematically.

A 1000 kg weather rocket is launched straight up. The rocket

motor provides a constant acceleration for 16 s, then the motor stops. The rocket altitude 20 s after launch is 5100 m. You can ignore any effects of air resistance. What was the rocket鈥檚 acceleration during the first 16 s?

FIGURE EX2.11 shows the velocity graph of a particle moving along the x-axis. Its initial position is x0 = 2.0 m at t0 = 0 s. At t = 2.0 s, what are the particle鈥檚 (a) position, (b) velocity, and (c) acceleration?

FIGURE EX2.9 shows the velocity graph of a particle. Draw the particle鈥檚 acceleration graph for the interval 0st4s

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.