Math problem +K for answer

[tribefan226]

Suppose that a hawk, whose initial position is

on the

-axis, spots a pigeon at

on the

-axis.

Suppose that the pigeon flies at a constant speed of 50 ft/sec in

the direction of the

-axis (oblivious to the hawk), while

the hawk flies at a constant speed of 60 ft/sec, always in the

direction of the pigeon.

The problem is to find an equation for the flight path of the

hawk (the curve of pursuit) and to find the time and place where

the hawk will catch the pigeon. Assume that in this problem all

distances are measured in feet and all times measured in seconds.

Leave out all dimensions from your answers.

Consider the diagram above (click on it for a better view)

which represents the situation at an arbitrary

time

during the pursuit. The points

and

represent

the positions of the hawk and pigeon respectively at that time instant

, with

representing the flight path of the hawk.

The pigeon's position

is given by the following function of time

=

The fact that the hawk is always headed in the direction of the pigeon

means that the line

is tangent to the pursuit curve

.

This tells us that

where

=?????

(Your answer must involve the three variables

,

, and

)

 

[Fish_Sandwich.]

uh oh.

 

[tribefan226]

ooops. mods please delete

 

[Mac.]

uhhh what?

 

[BennyV]

seriously this is pretty basic if you break it down..just plug in the numbers with E=mc2, and dont forget to carry the one near the end of the equation.

 

[popNfresh44]

as you can see here,

internet = serious business