A projectile is fi red downward with initial speed v₀ in an experimental fluid and experiences an acceleration a = σ − ηv², where σ and η are positive constants and v is the projectile speed. Determine the distance traveled by the projectile when its speed has been reduced to one-half of the initial speed v₀. Also, determine the terminal velocity of the projectile. Evaluate for σ = 0.7 m/s², η = 0.2 m⁻¹, and v₀ = 4 m/s.

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Uo Problem 2/42