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Math  /  Geometry

QuestionA falcon dives toward the ground with a constant velocity of 5.10 m/s5.10 \mathrm{~m} / \mathrm{s} at 57.0∘57.0^{\circ} below the horizontal. The Sun is directly overhead and casts a shadow of the falcon directly below it. What is the speed (in m/s\mathrm{m} / \mathrm{s} ) of its shadow on level ground? □\square m/s\mathrm{m} / \mathrm{s} Need Help? Read It

Studdy Solution
Calculate vxv_x using cos⁡(57.0∘)≈0.544\cos(57.0^\circ) \approx 0.544:
vx=5.10 m/s⋅0.544 v_x = 5.10 \, \mathrm{m/s} \cdot 0.544 vx≈2.78 m/s v_x \approx 2.78 \, \mathrm{m/s}
The speed of the falcon's shadow on level ground is approximately:
2.78 m/s \boxed{2.78 \, \mathrm{m/s}}

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