Question

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 ?

Answer #1

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.

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, 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.)

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...

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?

1- A spherical balloon is inflated so that its volume is
increasing at the rate of 3.8 ft3/minft3/min. How rapidly is the
diameter of the balloon increasing when the diameter is 1.5 feet?
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...

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...

At noon, ship A is 150 km west of ship B. Ship A is sailing east
at 35 km/h and ship B is sailing north at 30 km/h. How fast is the
distance between the ships changing at 4:00 PM?
Gravel is being dumped from a conveyor belt at a rate of 30
ft3/min, and its coarseness is such that it forms a pile
in the shape of a cone whose base diameter and height are always
equal. How fast...

Question 1:
Two cars start moving from the same point. one travels south
at 48 mi/h and the other travels west at 20 mi/h. At what rate is
the distance between the cars increasing two hours later?
Question 2:
A boat is pulled into a dock by a rope attached to the bow of
the boat and passing through a pulley on the dock that is 1 m
higher than the bow of the boat. If the rope is pulled...

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