Question

A cruise ship heads due west from a port 4 miles directly south of San Francisco. If the ship is travelling at a constant rate of 21 mph, how fast is the distance between the ship and San Francisco changing 1 hour after leaving port? Round your answer to the nearest tenth.

Answer #1

At noon, ship A is 20 miles west of ship B. Ship A is traveling
due east at an average speed of 4mph, at the same time ship B
travels south at an average speed of 5mph. How fast is the distance
between ship A and B changing at 2:00pm?

Ship A is 50 miles directly south of ship B at time t = 0. Ship
A is sailing east at 10 miles per hour while ship B is sailing
south at 15 miles per hour.
a. Is the distance between the ships increasing or decreasing
when ship A has traveled 10 miles to the east?
b. What is the rate at which the distance between the two ships
is changing when ship A has traveled 30 miles east?

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?

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
second ship has already left the port, traveling to the north at 10
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...

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, ship A is 50 km west of ship B. Ship A is sailing south
at 20 km/h and ship B is sailing north at 10 km/h. How fast is the
distance between the ships changing at 4:00 PM? (Round your answer
to one decimal place.)

At noon, the Titanic is 1414 nautical miles due west of
the SS Minnow. The Titanic is sailing west at 2020 knots and the SS
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.)

Vehicle A is headed due west from a fixed point PP at a rate of
4545 miles/hour. Vehicle B is headed due north from PP at an
unknown rate, but it is known that the distance between the
vehicles is increasing at a rate of 5050 miles/hour. How fast is
vehicle B travelling when vehicle A is 150150 miles from PP and
vehicle 2 is 8080 miles from PP ?

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