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# hw sol 8 - Homework#8Solutions 1).3metersfromthetop...

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Homework #8 Solutions 1)The trick here is to figure out how long the ball will take to fall 1.3 meters from the top  of the table to the top of the coffee can (1.5 meters – 0.3 meters = 1.3 meters).  Knowing the travel time, you can figure out how far the ball will travel horizontally if  it is moving at a constant 4 m/s horizontal velocity, and that's where you'll put your  coffee can: (vertical distance fallen) =  ½  a t 2 (1.3 m) =  ½  (9.8 m/s 2 ) (t 2 ) t = 0.51 seconds So the ball will take 0.51 seconds to fall to the can; in order to hit the can,  the can must be placed D = VT D = (4 m/s) (0.51s) = 2.06 meters away. 2)This question is similar to the last one, except here we are trying to find the necessary  horizontal velocity to hit the target.  First, we'll find the time required to fall the 80  meters: (distance fallen) =  ½  a t 2 (80 m) =   ½  (9.8 m/s

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