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anonymous
 one year ago
Find the resultant displacement of a bear searching for berries on the mountain. The bear heads 55.0º north of west for 15.0 m; then it turns and heads to the west for another 7.00 m. (Use trigonometry to answer, but remember to draw a diagram to help your understanding.) Give both the magnitude and the angle in your answer.
anonymous
 one year ago
Find the resultant displacement of a bear searching for berries on the mountain. The bear heads 55.0º north of west for 15.0 m; then it turns and heads to the west for another 7.00 m. (Use trigonometry to answer, but remember to draw a diagram to help your understanding.) Give both the magnitude and the angle in your answer.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hi Welcome to OpenStudy @13whitneyh First, you have to draw a diagram: dw:1435286545984:dw To solve for the resultant displacement: you can resolve the 15 m vector into components, x and y.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1435286975864:dw Since the x component of the 15 m vector has the same direction with the 7m horizontal vector, you just have to add them. Rx= 15 cos (55) + 7 Since 7m vector only lies on the horizontal, it means that your Ry will only be the ycomponent of the 15 m vector: Ry= 15sin(55) Once you find those two values, you can easily find the Resultant vector using the Pythagorean theorem :)

asib1214
 one year ago
Best ResponseYou've already chosen the best response.0When dealing with vectors in 2D, always remember that each vector has two components, x and y. These components help us calculate how far an object has moved horizontally on xaxis (EW) or Vertically (NS) on the yaxis. Since we have a scenario that involves 2 vectors, we're gunna have 4 components in total. Let's see how we tackle the problem.

asib1214
 one year ago
Best ResponseYou've already chosen the best response.0dw:1435436750970:dw

asib1214
 one year ago
Best ResponseYou've already chosen the best response.0Since we have two vectors, we're going to have two x components and 2 y components. For your ease the formula shows which x components you're dealing with. In this case Delta x1 is the initial displacement from the origin and Delta x 2 is the second displacement where the first one ended. The total distance bear covered on the horizontal axis is 15.60m going towards the [W] dw:1435437134492:dw

asib1214
 one year ago
Best ResponseYou've already chosen the best response.0To figure out how much distance the bear covered on the yaxis or horizontally. We 're going to use the same formula but a different triidentity. This time it's gunna be Sin dw:1435438027616:dw

asib1214
 one year ago
Best ResponseYou've already chosen the best response.0Now that you have your x and y components, Draw a separate right triangle to make things easier for yorself and use the Pythagorean theorem to figure out the longest side.dw:1435439667139:dw

asib1214
 one year ago
Best ResponseYou've already chosen the best response.0To determine the angle.......use Tan0 = Total vertical displacement/ total horizontal displacement. Take the inverse of tan and you should get 38.28 Degress. Your full anser wold look something like this..... 19.85m(N38W)
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