SOLUTION: Please help me find the function
Two ships leave port at the same time. One sails south at 15 miles per hour and the other sails east at 20 miles per hour. Find a function that
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Two ships leave port at the same time. One sails south at 15 miles per hour and the other sails east at 20 miles per hour. Find a function that
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Question 575520: Please help me find the function
Two ships leave port at the same time. One sails south at 15 miles per hour and the other sails east at 20 miles per hour. Find a function that models the distance between the ships in terms of time elapsed since their departure.
I have drawn out a picture but im still confused on how to form the function Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Two ships leave port at the same time.
One sails south at 15 miles per hour and the other sails east at 20 miles per hour.
Find a function that models the distance between the ships in terms of time elapsed since their departure.
:
Let t = time from departure
:
We know that d = speed*time, therefore
15t = distance traveled by the southbound ship
20t = distance traveled by the eastbound
:
This is a right triangle problem: c^2 = a^2 + b^2, where
a = 15t
b = 20t
c = distance between them at t time
:
c^2 = (15t)^2 + (20t)^2
c^2 = 225t^2 + 400t^2
Combine like terms
c^2 = 625t^2
Find the square root of both sides
c =
which is
c = 25t
f(t) = 25t, would be the function
