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Your projectile launching system is partiallyjammed. It can only launch objects

ID: 1742905 • Letter: Y

Question

Your projectile launching system is partiallyjammed. It can only launch objects with an initial verticalvelocity of 42.0 m/s, though the horizontal component of thevelocity can vary. You need your projectile to land 211 m fromits launch point. What horizontal velocity do you need to programinto the system?
m/s m/s Your projectile launching system is partiallyjammed. It can only launch objects with an initial verticalvelocity of 42.0 m/s, though the horizontal component of thevelocity can vary. You need your projectile to land 211 m fromits launch point. What horizontal velocity do you need to programinto the system?
m/s

Explanation / Answer

initial vertical velocity=42 m/s vertical acceleration=g=9.8 m/s2 let the projectile took t s to travel 211 m horizontally let horizontal velocity=v horizontal acceleration=0 211=v*t t=211/v vertical displacement=0 time=t h=u*t-(1/2)*g*t2 0=42*(211/v)-(1/2)*9.8*(211/v)2 8862/v=218152.9/v2 8862*v=218152.9 v=24.62 m/s horizontal velocity should be 24.62 m/s