Question

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?

Answer #1

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, 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, ship A is 120 km west of ship B. Ship A is sailing
east at 20 km/h and ship B is sailing north at 15 km/h. How fast is
the distance between the ships changing at 4:00 PM?
km/h

3. (5pts) At noon, ship A is 120km west of ship B. Ship A is
sailing north at 35km/h and Ship B is sailing south at 25km/h. How
fast is the distance between the ships changing at 4:00pm

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.

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?

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?

At time t = 0, a ship leaves point P and heads north at 4 km/h.
One hour later (t = 1) another ship leaves the same point P and
heads east at 6 km/h. How fast is the distance between the ships
increasing at time t = 2?

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