Question

Two ships are on a collision course. At noon, ship A is positioned 88 nautical miles (NM) due north of the collision point and Ship B is 15 NM due east of the collision point. Ship A is moving south with a constant speed of 16 knots.Ship B traveling west with a constant speed of 30 knots. Calculate the rate of change of the distance D between the ships at noon. dD/dt=?

Answer #1

At noon, ship A is 10 nautical miles due west of ship B. Ship A
is sailing west at 25 knots and ship B is sailing north at 23
knots. How fast (in knots) is the distance between the ships
changing at 6 PM? (Note: 1 knot is a speed of 1 nautical mile per
hour.)
What is the answer in knots? Please neat answers only!

At noon, ship A is 30 nautical miles due west of ship B. Ship A
is sailing west at 24 knots and ship B is sailing north at 18
knots. How fast (in knots) is the distance between the ships
changing at 3 PM?

At noon, ship A is 40 nautical miles due west of ship B. Ship A
is sailing west at 25 knots and ship B is sailing north at 20
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.)
Note: Draw yourself a diagram which shows where the ships are at
noon and where they are "some time" later on. You will need...

At noon, the Titanic is 1414 nautical miles due west of
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Minnow is sailing north at 2525 knots. How fast (in knots) is the
distance between the ships changing at 33 PM? If necessary, round
your answer to at least three decimal places.
(Note: 1 knot is a speed of 1 nautical mile per hour.)

At noon, ship A is 20 miles west of ship B. Ship A is traveling
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travels south at an average speed of 5mph. How fast is the distance
between ship A and B changing at 2:00pm?

One ship is approaching a port from the east, traveling west at
15 miles per hour, and is presently 3 miles east of the port. A
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miles per hour, and is presently 4 miles north of the port. At this
instant, what is the rate of change of the distance between two
ships? Are they getting closer or further apart?

A cruise ship maintains a speed of 16 knots (nautical miles
per hour) sailing from San Juan to Barbados, a distance of 600
nautical miles. To avoid a tropical storm, the captain heads out
of San Juan at a direction of 10 degrees off a direct heading to
Barbados. The captain maintains the 16 dash knot speed for 7
hours, after which time the path to Barbados becomes clear of
storms. (a) Through what angle should the captain turn to...

Ships A and B leave port together. For the next two hours, ship
A travels at 24 mph in a direction 30 degrees west of north while
ship B travels 28 degrees east of north at 29 mph .
a)What is the distance between the two ships two hours after
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b) What is the speed of ship A as seen by ship B?

please don't answer unless you can do all parts, circle answer
and show work please
part 1)
A 13 foot ladder is leaning against a wall. If the top slips
down the wall at a rate of 3 ft/s, how fast will the foot be moving
away from the wall when the top is 9 feet above the ground? The
foot will be moving at ft/s.
part 2)
Oil spilled from a ruptured tanker spreads in a circle whose
area...

1- A spherical balloon is inflated so that its volume is
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The diameter is increasing at ft/min.
2- A 16 foot ladder is leaning against a wall. If the top slips
down the wall at a rate of 3 ft/s, how fast will the foot be moving
away from the wall when the top is 12 feet above the...

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