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Suppose a ship is sailing at a rate of 20 km/h parellel to a straight shoreline. The ship is 8 km from shore when it passes a lighthouse at 1 pm. 

 

a) Let h be the distance between the lighthouse and the ship. Let d be the distance from the ship has travelled since 1 pm. Express h as a function of d. Please include a diagram. 

 

b) Express d as a function of t, the time elapsed since 1 pm.

 

c) Find hod. What does this function represent?

 Jun 23, 2018
 #1
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a)  The distance ( in km ) that the ship is from the lighthouse at any time  after 1 PM is given  by :

 

h (d)   =  √ [ 8^2  +  (d)^2 ]   where d is the distance ( in km ) the ship has traveled since 1 PM

 

 

b )   d(t)  =  20t    where  t  is the time (in hours) since 1PM

 

c)  h° d  =  h[d(t) ]   =  √ [ 8^2 + (20t)^2 ]    which represents the total distance (in km) the ship is from the lighthouse at  any time  t  (in hours)  after 1PM

 

 

cool cool cool

 Jun 24, 2018

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