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erastova [34]
4 years ago
5

While brayden is traveling along a straight interstate highway, he notices that the mile marker reads 260. Brayden travels until

he reaches the 150-mile market and then retraces his path to the 175-mile marker. What is braydens displacement from the 260- mile marker
Physics
1 answer:
Yuki888 [10]4 years ago
5 0

Answer:

<em>displacement = -85 miles</em>

Explanation:

<u>Displacement </u>

It's a magnitude used to measure the linear space between two points. It's computed as the subtraction of the final position minus the initial position which results in a vector. Notice the displacement only depends on the initial and final positions and not on the path the object has traveled.

Brayden starts to measure his position when the mile marker reads 260. Then he travels to the 150-mile marker and goes back to the 175-mile marker, his final position. As mentioned, the displacement only depends on the relative positions, so

displacement = 175 - 260 = -85 miles

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\therefore V_r = V_p+V_w\\\Rightarrow V_r = (50\ \hat{i}+86.60\ \hat{j})\ km/h+(21.21\ \hat{i}-21.21\ \hat{j})\ km/h\\\Rightarrow V_r = (71.21\ \hat{i}+65.39\ \hat{j})\ km/h

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This means the the true course of the plane is in the direction of 40.29^\circ north of east.

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\therefore Magnitude = \sqrt{71.21^2+65.39^2} = 96.68\ km/h

Hence, the ground speed of the plane is 96.68 km/h.

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