projectile motion and air resistance

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greenseeking

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Hi this is something of a concept question.

how does lift result in an increased displacement distance in the x-direction in projectile motion? Can anyone explain to me how that works? Would having a lift affect the y-direction as well?
 
Lift (defined as a force pointed up, in the opposite direction of gravity) will result is a smaller net force. That will lead to lower acceleration downward and more time to reach the ground. Since the velocity along the x axis is constant, more time means that the object will go further along the x axis.

Yes, lift will affect the y-axis, as described above.
 
time for a falling object (assuming it's just thrown downwards with an initial vy=0) =s t = sq root (2h/a).

When you have lift, there is a force acting upwards on the object. This slightly cancels the downward force of gravity making the net force and acceleration smaller. A decrease in acceleration increases flight time.

Since the horizontal velocity does not change due to gravity, the only thing which will affect our horizontal displacement is time. d = Vx * t. since the flight time, t, is higher, the displacement in the x direction must also increase.
 
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