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AP Physics 1
1.5 Vectors and Motion in Two Dimensions
IntermediateMCQMathematical24.4k
A coordinate system with the origin (0,0) labeled 'Trailhead'. A vector labeled '3.0 km' points from the origin straight up to point A on the y-axis. At point A, a dashed horizontal line extends to the right. A second vector labeled '5.0 km' points from point A down and to the right, making a 37-degree angle with the dashed horizontal line. This vector ends at a point labeled 'Campsite' which lies on the positive x-axis. A dashed vector labeled with a question mark represents the direct path from the Trailhead to the Campsite.
Map showing the hiker's path from the trailhead to the campsite.
A hiker starts at a trailhead and walks \(3.0 \text{ km}\) due North. The hiker then turns and walks \(5.0 \text{ km}\) in a direction \(37^\circ\) South of East to reach a campsite. (Note: \(\sin 37^\circ \approx 0.60\); \(\cos 37^\circ \approx 0.80\)). What is the magnitude of the hiker's total displacement from the trailhead to the campsite?

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