A toy tugboad is launched from the side of a pond and travels due north at 5 cm/s. At the same time, a toy speed boat starts from a point 8root2 north east of the tug boat and travels west at 7cm/s. How closely do the two boats approach each other?
2007-05-14 12:51:51 · 3 answers · asked by md_kath 1 in Science & Mathematics ➔ Mathematics
use the distance formula to get a formula for the distance between them at time .
2007-05-18 03:46:46 · answer #1 · answered by Anonymous · 3⤊ 0⤋
The first thing you always need to do is draw a picture.
Be sure to draw coordinate axes.
Then find a formula for the position of both boats at time t.
For instance for tugboat 1
y1 = "something"
x1 = "something"
Then tugboat 2
y2 = something
x2 = something
Then use the distance formula to get a formula for the distance between them at time t.
Find the minimum of this equation using calculus
2007-05-14 20:17:48 · answer #2 · answered by Demiurge42 7 · 0⤊ 0⤋
yes
2007-05-14 19:54:33 · answer #3 · answered by Justin C 1 · 0⤊ 2⤋