
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 16th, 2010, 08:30 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). 
February 18th, 2010, 02:08 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,652 Thanks: 2085 
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".


Tags 
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 03:20 PM 
Relative sizes  echilon  Computer Science  1  June 19th, 2012 08:51 AM 
relative velocities between spinning disks  jsierra1987  Algebra  3  January 11th, 2012 11:36 AM 
relative min or max or neither  ArmiAldi  Calculus  4  March 11th, 2008 04:42 PM 
[Research problem] A line & a circle w/ relative velocities  Solarmew  Algebra  0  December 31st, 1969 04:00 PM 