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The net displacement of the bird (i.e., the shortest distance from the tree to the last location of the bird) is 147.3626m. A more direct method of computation is by constructing a single triangle and the use of the formula a­­2 = b2 + c2 - (2bc CosA), where a is the unknown side, b & c are the given sides and CosA is the Cosine of the included angle A between sides b & c. In this problem, a is the unknown displacement, b is the 1st 100m route, c is the 2nd 200m route and A is 45degrees based on the direction of side c which is North45dWest or simply Northwest. Note: Had the direction of c been Northeast, the net displacement would have been 279.7933m.

The above answer can be counterchecked by plotting to scale the triangle in a paper (preferably graphing paper) and measure the actual length of side a.

A more simple method of computation without using the Cosine function is by way of 2 or 3 right triangles and utilizing the properties of right triangles. But this requires illustrative drawings here to be fully understood.

by Philip Ruyeras

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15y ago

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How much is the distance traveled and displacement if you walk 100m forward and then 35m backward?

The distance traveled is 135m (100m forward + 35m backward). The displacement is 65m forward (100m - 35m), as displacement is the difference between the final and initial positions regardless of the path taken.


A sprinter runs 200m west and 100m east her displacement is?

displacement is the measure of the distance from the starting and ending points, AND the direction. it doesnt matter that she ran 300m total. heres the math for displacement: point b (the direction with the larger number) - point a(direction with the smaller number the direction will be point b's direction. so, plug it in. 200m west - 100m east =100m west ^^ if u wer to draw displacement, you would not need 2 draw the 200m west or the 100m east; you would imply draw the starting point and then 100m west, and draw a straight line connecting them. ^^ hope this helps!


Determine your distance traveled and displacement if you walk 100m forward and then 35m backward?

The distance traveled would be 135m (100m + 35m) since it's the total length of the path you walked. The displacement would be 65m forward because it's the difference between your final position and your initial position.


Can you Determines your distance traveled and displacement if you want to hundred meters forward and then 35 m backwards?

The distance traveled would be 135 meters (100m forward + 35m backward). The displacement would be 65 meters forward (100m - 35m) as it measures the shortest distance from the initial point to the final point.


What is your displacement if you walk 100m north 20m east 30m south 50m west and 70m south?

Your displacement is 150m south. Displacement is the shortest distance and direction from the starting point to the final point, so you need to consider the overall movement, not just the sum of distances in each direction.


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The force. Work=force x displacement Displacement=100m Work=? <----------------- if it's work your trying to find you need to force=? Know force and displacement. You know the Displacment, so force is missing.


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The work done by the mountain climber can be calculated using the formula: work = force × distance × cos(θ), where θ is the angle between the force and the displacement. In this case, the force is 900N, the distance is 100m, and assuming the angle is 0 degrees (straight up), the work done would be 900N × 100m × cos(0°) = 900N × 100m × 1 = 90,000 Joules.


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