What is the solution to this free fall gravity question?

AI Thread Summary
The discussion addresses a free fall gravity question, clarifying that in free fall, the time ascending equals the time descending, with velocity reaching zero at the peak. It emphasizes that an object thrown upwards will have the same speed when returning to the original height but in the opposite direction. The user seeks to derive an equation for a helicopter 30 meters high, thrown upwards at 20 m/s, to determine the object's velocity upon hitting the ground and the time taken. The solution involves using the initial velocity and understanding the motion dynamics to calculate the final velocity and time. The conversation highlights key principles of kinematics in free fall scenarios.
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[SOLVED] Free Fall Gravity Question

question below
 
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Vf does not equal 0, it equals -Vi.
The easiest way to look at it is that In free fall the object spends the same amount of time going up as it does going down. Also note that when the object is at the top of its path v=0.
So we know that it is in the air for 3 seconds, therefore at 1.5 seconds it is at its maximum height and v=0.
the change in velovity is 5-0=5 and the accel is 5/1.5 = 3.333m/s^2
 
ok thanks...on another note, how would you figure out an equation from say a helicopter which is 30m in the air and is throw up at 20m/s?
 
an equation to find what, the acceleration?
 
since i don't know the Distance of the obj.'s path (30+d) how would i go about figuring it out?
 
well I am looking for velocity of the obj when it hits the ground, and the time as well, and i just assumed i needed to know the distance
 
to do that you can use that fact that the object is moving at the same speed but opposite direction when it passes the same height on the way back down from it hieght. For example if a ball is thrown up at 5m/s when it passes the height that the thrower released it at it will be moving at 5 m/s down. So for the helicopter use the initial velocity that the ball is thrown up at in vf=vi+at
 
k got it
 
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