My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum

LinkBack Thread Tools Display Modes
February 16th, 2010, 09:30 AM   #1
Senior Member
Joined: Sep 2008

Posts: 199
Thanks: 0

relative velocities

An airplane A which can fly at a maximum speed of 800 km/h is going to overtake airplane B. Airplane B is flying to the east with a speed of 500km/h. Initially, B is at a position 100km and on a bearing of 240 degree from A.

(1) Find the minimum speed required of A to overtake B.

(2) If A flies at a speed of 400 km/h, find two possible directions of A so that A will be able to overtake B.

So I know I will have to start with a diagram, with A flying perpendicular to B for the minimum speed for (1)? Not sure bout (2).
mikeportnoy is offline  
February 18th, 2010, 03:08 PM   #2
Global Moderator
Joined: Dec 2006

Posts: 19,951
Thanks: 1842

The maximum speed of A is irrelevant in this question. The word "overtake" isn't clear when A and B are flying in different directions, so I am not sure what the question means by "overtake B". If A flies in a constant direction at the lowest speed that allows it to intercept B, it would be more reasonable to say that B overtakes A at the time of interception than that A overtakes B, and the same is true if A flies at 400 km/h. You should perhaps assume that "overtake" is to be interpreted as "intercept".
skipjack is offline  

  My Math Forum > High School Math Forum > Algebra

relative, velocities

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
[Research problem] A line & a circle w/ relative velocities Solarmew Physics 0 May 16th, 2013 04:20 PM
Relative sizes echilon Computer Science 1 June 19th, 2012 09:51 AM
relative velocities between spinning disks jsierra1987 Algebra 3 January 11th, 2012 12:36 PM
relative min or max or neither ArmiAldi Calculus 4 March 11th, 2008 05:42 PM
[Research problem] A line & a circle w/ relative velocities Solarmew Algebra 0 December 31st, 1969 04:00 PM

Copyright © 2018 My Math Forum. All rights reserved.