ships A and B leave port together. For the next two hours, ship A travels at 25.
ID: 1526329 • Letter: S
Question
ships A and B leave port together. For the next two hours, ship A travels at 25.0 mph in a direction 70.0 degree west of north while the ship B travels 55.0 degree east of north at 40.0 mph A: What is the distance between the two ships two hours after they depart? B: What is the speed of ship A as seen by ship B? ships A and B leave port together. For the next two hours, ship A travels at 25.0 mph in a direction 70.0 degree west of north while the ship B travels 55.0 degree east of north at 40.0 mph A: What is the distance between the two ships two hours after they depart? B: What is the speed of ship A as seen by ship B? ships A and B leave port together. For the next two hours, ship A travels at 25.0 mph in a direction 70.0 degree west of north while the ship B travels 55.0 degree east of north at 40.0 mph A: What is the distance between the two ships two hours after they depart? B: What is the speed of ship A as seen by ship B?Explanation / Answer
here,
speed of ship A , vA = 25 mph * ( -sin(70) i + cos(70) j)
vA = ( - 23.49 i + 8.55 j) mph
speed of ship B , vB = 40 mph * ( sin(55) i + cos(55) j)
vB = (32.77 i + 22.9 j) mph
A)
vA - vB = ( - 56.26 i - 14.35 j ) mph
for 2 hours
xA - xB = ( vA - vB) * 2 = (- 112.52 - 28.7 j) mi
the distance between the two ships two hours after they depart , d = sqrt(112.5^2 + 28.7^2) = 116.1 mi
B)
the speed of ship A as seen from B , v = |vA - vB| = sqrt(56.26^2 + 14.35^2)
v = 58.06 mph
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.