Lighthouses Functions
lighthouses functions
i need help! calculus problem!?
A ship is moving at a speed of 15 km/h parallel to a straight shoreline. The ship is 5 km from shore and it passes a lighthouse at noon.
(a) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon.
s = f(d) = ??
(b) Express d as a function of t, the time elapsed since noon.
d=g(t)=
(c) Find f(g(x))
f(g(t))
a)
f(d) = √(5^2 + d^2)
(using Pythagoras theorem)
__________________________
b)
speed = distance/time
15 = d/t
d = 15
g(t) = 15t
_________________________
c)
s = f(d) = f(g(t)) = √(5^2 + (15t)^2)
s = f(g(t)) = √(5^2 + (15t)^2)
s = √(25 + 225t^2)
Where s is straight line distance from the light house
(you don't seem to have asked any calculus questions)
I hope this helps
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