Turn on thread page Beta
    • Thread Starter
    Offline

    0
    ReputationRep:
    I am stuck on this question from M1, since we have been doing dynamics and did SUVAT (equations of motion) stuff ages ago, I've completely stumped now on how to do this question.

    In taking off, an aircraft moves on a straight runway AB of length 1.2 km. The aircraft moves from A with intial speed 2 m/s. It moves with constant acceleration and 20s later it leaves the runway at C with speed 74 m/s. Find:

    (a) the acceleration of the aircraft,
    (b) the distance BC.

    could someone help me please.
    Offline

    16
    ReputationRep:
    ok lets do a) first,

    s = x (we dont have length AC) , u = 2, v= 74, a=?, t = 20

    What equation can we use now?
    Offline

    0
    ReputationRep:
    this is a suvat equation !

    s = ut + 1/2 at^2
    Offline

    15
    ReputationRep:
    a) v=u+at
    b) Find AC
    Offline

    15
    ReputationRep:
    (Original post by Eaglepowers)
    this is a suvat equation !

    s = ut + 1/2 at^2
    You don't know s or a.
    • Thread Starter
    Offline

    0
    ReputationRep:
    you can use V = U + AT to calculate acceleration and with that calculate the distance of BC.

    so the acceleration would be: 3.6.

    and the distance of AC would be 2612m, thus BC would be 2612 - 1200 = 1412m therefore, 1.412km ?
    Offline

    15
    ReputationRep:
    (Original post by fahadalhasan)
    you can use V = U + AT to calculate acceleration and with that calculate the distance of BC.

    so the acceleration would be: 3.6.

    and the distance of AC would be 2612m, thus BC would be 2612 - 1200 = 1412m therefore, 1.412km ?
    Your acceleration is right but AC can't be greater than AB.

    AC = ut + 1/2 at^2

    and BC = AB - AC
    Offline

    2
    ReputationRep:
    a) v=u+at

    this should give a value of a = 3.6 m/s/s

    b) Then work out length AC S=0.5(u+v)t i got this to be 760m

    Subtract this from the length of AB 1200 - 760 = 440m

    (note i did this in my head. You may want to check first. Hope it helped)
    Offline

    2
    ReputationRep:
    For those confused. The point C lies inbetween points A and B
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: October 10, 2009

University open days

  • University of Roehampton
    All departments Undergraduate
    Sat, 17 Nov '18
  • Edge Hill University
    Faculty of Health and Social Care Undergraduate
    Sat, 17 Nov '18
  • Bournemouth University
    Undergraduate Open Day Undergraduate
    Sat, 17 Nov '18
Poll
Black Friday: Yay or Nay?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Equations

Best calculators for A level Maths

Tips on which model to get

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.