5. Consider projectile motion with air resistance taken into account. If the resistance is proportional to the velocity, the initial velocity has vertical and horizontal components Voy and Vox, respectively, and the motion starts at the origin, show that the trajectory is given by y[x] V2 = _ V² In (1 _ _0x) + (Poy = ¹) x. gx - V == g Vox V Vox

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Chapter1: Units, Trigonometry. And Vectors
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5. Consider projectile motion with air resistance taken into account. If the resistance is proportional to the
velocity, the initial velocity has vertical and horizontal components Voy and Vox, respectively, and the motion
starts at the origin, show that the trajectory is given by
y[x]
gx
- V² In (1 - 0x) + (Poy - V) x.
g
Vox
Transcribed Image Text:5. Consider projectile motion with air resistance taken into account. If the resistance is proportional to the velocity, the initial velocity has vertical and horizontal components Voy and Vox, respectively, and the motion starts at the origin, show that the trajectory is given by y[x] gx - V² In (1 - 0x) + (Poy - V) x. g Vox
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