# Dyanamics

Two ships A&B leave port at same time the ship A is north-west at 32km/hr & ship B is 40degree south of west at 24 m/hr determine 1)the speed of ship B relative to ship A
2)At what time they will be 150km apart

1. 👍 0
2. 👎 0
3. 👁 238
1. 1. A = 32km/h[135o],CCW
Xa = 32*cos135 = -22.63 km/h
Ya = 32*sin135 = 22.63 km/h

B = 24km/h[220o],CCW
Xb = 24*cos220 = -18.39 km/h
Yb = 24*sin220 = -15.43 km/h

Xa and Xb are in same direction. So we
subtract:
Xc=Xb-Xa = -18.39 - (-22.63)=4.24 km/h
Yc = Yb+Ya = -15.43 + 22.63 = 7.2 km/h

tanC = Yc/Xc = 7.2/4.24 = 1.69811
C = 59.5o

Vb=Yc/sinC = 7.2/sin59.5=8.36 km/h[59.5]
= Velocity of B relative to A.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Calculus

Two ships leave the same port at noon. Ship A sails north at 22 mph, and ship B sails east at 12 mph. How fast is the distance between them changing at 1 p.m.? (Round your answer to one decimal place.)

2. ### Math

At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed

3. ### math

At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed

4. ### calculus

At noon, ship A is 110 km west of ship B. Ship A is sailing east at 25 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?

1. ### Calculus

At noon, ship A is 130 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM?

2. ### CALCULUS

At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM?

3. ### Calculus

At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 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?

4. ### math

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

1. ### CALCULUS

At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship B is sailing north at 19 knots. How fast (in knots) is the distance between the ships changing at 5 PM? (Note: 1 knot is a speed

2. ### trig

Help! Ships A and B leave port at the same time and sail on straight paths making an angle of 60 degrees with each other. HOw far apart are the ships at the end of 1 hour if the speed of ship A is 25 km/h and that of ship B is 15

3. ### math

A ship leaves a port at 12:00 Noon and sails East at speed of 10 miles/hour. Another ship leaves the same port at 1:00 PM and sails North at a speed of 20 miles/hour. At what time are the two ships going to be 50 miles apart from

4. ### Calculus

Two ships leave the same port at noon. Ship A sails north at 12 mph, and ship B sails east at 19 mph. How fast is the distance between them changing at 1 p.m.? (Round your answer to one decimal place.)