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previous Problem 4.52 Part A Ships A and B leave port together. For the next two

ID: 1779610 • Letter: P

Question

previous Problem 4.52 Part A Ships A and B leave port together. For the next two hours, ship A travels at 35.0 mph in a direction 550 west of north while the ship B travels 20.0 east of north at 40.0 mph What is the distance between the two ships two hours after they depart? Express your answer with the appropriate units. | Value Units Submit My Answers Give Up Part B What is the speed of ship A as seen by ship B? Express your answer with the appropriate units. Value Units Submit My Answers Give Up

Explanation / Answer

here,

speed of ship A , vA = 35 * ( - sin(55) i + cos(55) j) mph

vA = - 28.7 mph i + 20.1 mph j

speed of ship B , vB = 40 * ( sin(20) i + cos(20) j)

vB = 13.68 i mph + 37.59 j mph

the speed of ship A relative to ship B

v = vA - vB = - 42.38 i - 17.49 j mph

|v| = sqrt(42.38^2 + 17.49^2)

|v| = 45.8 mph

a)

for t = 2 hrs

the distance , s = |v| * t

s = 91.7 m

b)

the speed of ship A relative to ship B is 45.8 mph