Your roommate A leaves for her physics class and runs down the sidewalk at velocity vA. You then realize that she forgot her lunch and you get the excellent idea to throw it out the window of your 3rdfloor apartment which is directly above the start of the sidewalk. (You are in another section of the same class and both of you understand kinematics very well. It will be fine!) She has been running down the sidewalk for time tA at the moment you throw the lunch with a velocity vL horizontally from a height H above the sidewalk.Write all answers in terms of variables given in the problem and any appropriate constants. a)Find the time it will take for the lunch to travel from your hand to a point just before hitting the sidewalk. b)How far down the sidewalk has she traveled at the point when she catches the lunch just before it hits the sidewalk? c)What was the magnitude of the velocity vL of the lunch at the time you threw it?

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Your roommate A leaves for her physics class and runs down the sidewalk at velocity vA. You then realize that she forgot her lunch and you get the excellent idea to throw it out the window of your 3rdfloor apartment which is directly above the start of the sidewalk. (You are in another section of the same class and both of you understand kinematics very well. It will be fine!) She has been running down the sidewalk for time tA at the moment you throw the lunch with a velocity vL horizontally from a height H above the sidewalk.Write all answers in terms of variables given in the problem and any appropriate constants.

a)Find the time it will take for the lunch to travel from your hand to a point just before hitting the sidewalk.

b)How far down the sidewalk has she traveled at the point when she catches the lunch just before it hits the sidewalk?

c)What was the magnitude of the velocity vL of the lunch at the time you threw it?

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