Asked by Kennedy
A boat travels at 15 m/s in a direction 45° east of north. The boat then turns and travels at 18 m/s in a direction 5° north of east.
What is the magnitude of the boat’s resultant velocity? Round your answer to the nearest whole number.
What is the direction of the boat’s resultant velocity? Round your answer to the nearest whole degree.
What is the magnitude of the boat’s resultant velocity? Round your answer to the nearest whole number.
What is the direction of the boat’s resultant velocity? Round your answer to the nearest whole degree.
Answers
Answered by
Henry
V1 = 15m/s[45o E of N.] = 45o N. of E.
V2 = 18m/s[5o N. of E.].
Vr = 15m/s[45o] + 18m/s[5o].
Vr = 15*Cos45+15*sin45 + 18*Cos5+18*sin5.
Vr = (10.61+10.61i) + (17.93+1.57i) = 28.54 + 12.18i.
Magnitude = sqrt(28.54^2 + 12.18^2) =
Tan A = Y/X = 12.18/28.54 = 0.42887. A =
V2 = 18m/s[5o N. of E.].
Vr = 15m/s[45o] + 18m/s[5o].
Vr = 15*Cos45+15*sin45 + 18*Cos5+18*sin5.
Vr = (10.61+10.61i) + (17.93+1.57i) = 28.54 + 12.18i.
Magnitude = sqrt(28.54^2 + 12.18^2) =
Tan A = Y/X = 12.18/28.54 = 0.42887. A =
Answered by
john
31 m/s
23 ° north of east
23 ° north of east
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.