1.Two ships, A and B , leave port at the same time. Ship A travels northwest at

Question

1.Two ships, A and B, leave port at the same time. Ship A travels northwest at 16 knots and ship B travels at 21 knots in a direction 40

Two ships, A and B, leave port at the same time. Ship A travels northwest at 16 knots and ship B travels at 21 knots in a direction 40 degree west of south. (1 knot = 1 nautical mile per hour; see Appendix D.) What is the magnitude the velocity of ship A relative to B? What is the direction of the velocity of ship A relative to B? After what time will the ships be 140 nautical miles apart? What will be the bearing of B (the direction of B's position) relative to A at that time? If is added to C = 4.0 + 6.5 , the result is a vector in the positive direction of the y axis, with a magnitude equal to that of C. What is the magnitude of ?

Explanation / Answer

Vae is velocity of ship A with respect to the earth= 16?45 deg

this takes north as 0 and counts CCW

then Vbe= 21?140 deg (B with respect to earth)

we want Vab

so

Vae + Veb = Vab

and Veb is the opposite of Vbe which is either -21?140

or better, 21?320

Vab = 16?45 deg + 21?320

draw these two vectors as sides of a parallelogram and the diagonal from the origin will be Vab

use trig to solve for magnitude and direction

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.