ProblemSet 3: Problem 3.Problem:A test projectile is fired horizontally into a viscous liquid with initial velocityvo. The dragforce,D, on the projectile isD=−mkv2,wheremis the projectile’s mass,vis instantaneous velocityandkis a constant of dimensions length−1. Assume the motion is so rapid that any vertical deflectiondue to gravity is negligible.(a) Determine the velocity of the projectile in terms ofvo,kandtand compute the time at whichthe projectile’s speed is12vo.(b) Determine the projectile’s instantaneous position,x, as a function ofv,voandk.Solution:Newton’s Second Law tells us that
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