Question

At noon, ship A is 20 miles due west of ship B. Ship A is sailing west at 24 mph and ship B is sailing north at 23 mph. How fast (in mph) is the distance between the ships changing at 3 PM?

Answer 1

sighh.. Jinnie lol nobody seems to want to do this.. i was hoping someone would lol

Answer 2

lol yeah. i really hope so too since this is due tomorrow lol

Answer 3

i found a similar problem...lets try this user solution

At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)


this is a cal problem.

math - Damon, Saturday, July 9, 2011 at 9:30pm

after 4 hours
x = - 30 - 21*4 = - 114
y = 15*4 = 60
dx/dt = -21
dy/dt = 15

D at 4 hr = sqrt(114^2+60^2) = 129
D^2 = x^2 + y^2
2 D dD/dt = 2 x dx/dt + 2 y dy/dt
129 dD/dt = -114(-21) + 60(15)
dD/dt = 25.5 knots

Answer 4

so far i got
x=-132
y=69

Answer 5

dx/dt= -24
dy/dt=23