Question 700926
I would do it this way:
let x = travel time of the two animals
then write a distance equation for each
Fox
d = 20.53x+10
Coyote
d = 21.02x
:
Plot these two equations, vert is distance in yds
{{{ graph( 300, 200, -6, 20, -12, 200, 20.53x+10, 21.02x) }}}
As you can see, because the speeds of the animals are so close it is hard to get a definitive graph, the lines are almost parallel
:
If you can, choose an animal with large speed difference say a coyote and rabbit
The speed of rabbit is about 17.1 yds/sec, give it a 20 yd head start, then you would have an equation of 17.1x + 20
{{{ graph( 300, 200, -6, 10, -12, 200, 17.1x+20, 21.02x) }}}
Coyote catches the rabbit in about 5 sec a little over 100 yds