d-16337-dt-content-nid-7915437 cpurse201601-152W 3. (8 points) Ships A and B lea
ID: 584367 • Letter: D
Question
d-16337-dt-content-nid-7915437 cpurse201601-152W 3. (8 points) Ships A and B leave port together. For the next two hours, ship A travels at 20 mph in a direction 45° west of north while the ship B travels 60° east of north at 35 mph. In the following, you don't need final numerical number but do have to show your results involving multiplications of given numbers and sine or cosine function. Use the convention + x is to the east and + y is to the north. (a) (4 points) Write down the velocity vectors for both ships by filling the following blanks (sign matters here). vA-20 sin(45) 20cos(45) j mph 35sin(60) 35cos (60) j mph (b) (2 points) What is the velocity of ship A as seen by an observer on ship B? VAB20 sin(45)-35 sin(60) 20 cos(45)- 35cos(60) j mph (c) (2 points) Find an expression that represents the distance between the two ships one hour after they depart.Explanation / Answer
We can imagine the scene to be on coordinate axis
A is travelling in the second quadrant
B is travelling in first quadrant
if we try to form the components for both of them
A has x component along negative x axis and y component along positive y axis
Similarly
B has x component along positive x axis and y component along positive y axis
Relative velocity VAB =VA-VB= -20sin45 - 35sin60 along x axis
20cos45 - 35cos60 along y axis
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.