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jarp0120
 one year ago
please help
a ship is sailing north at 22 km/hr. a second ship sailing east at 16 km/hr crosses the path of the first ship 85 km ahead of it. how fast is the distance between them changing 1 hour later?
when are they closes together?
jarp0120
 one year ago
please help a ship is sailing north at 22 km/hr. a second ship sailing east at 16 km/hr crosses the path of the first ship 85 km ahead of it. how fast is the distance between them changing 1 hour later? when are they closes together?

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phi
 one year ago
Best ResponseYou've already chosen the best response.5\[ c^2 = x^2 + y^2 \] take the derivative with respect to time \[ 2 c \ \dot{c} = 2x \ \dot{x} + 2y \ \dot{y}\] and solve for c dot (= dc/dt)

phi
 one year ago
Best ResponseYou've already chosen the best response.5In general, the y value (of the ship moving north) is (8522t) the x value of the east going ship is 16t \[ c^2 = (8522t)^2 + 256t^2 \] take the derivative with respect to t \[ 2 c \ \dot{c} = 2(8522t)(22) + 2\cdot 256 t \\ \dot{c} = \frac{22(8522t)+ 256 t }{c} \] set dc/dt to zero to find the min value \[ \frac{22(8522t)+ 256 t }{c} =0 \\ 22(8522t)+ 256 t=0 \] solve for t (in hours)

Jarp0120
 one year ago
Best ResponseYou've already chosen the best response.0@phi thank you for your help
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