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Free Fall


Two general kinematic equations derived earlier in the semester were:

 y = yo + vot + ½ at2                         V = vo + at  

 where   y   = distance

            yo = initial distance

            vo = initial velocity

            t = time in the air

            a = acceleration due to gravity (9.8 m/s2 on Earth)

 

Regularly in a free fall problem there is no initial velocity and distance, therefore the equations simplify to:

 y = ½ at2                                         v = at

 

 where   y = Height from where the object is dropped

            t = time in the air

            v = velocity of the object before it hits the ground

            a = acceleration due to gravity (9.8 m/s2 on Earth)

 

Knowing where the object is dropped from, the first equation can be manipulated to determine total time.

 t =

 

Visit the following link to view a graphic and calculated example of a free falling situation. Set initial conditions and gather data to perform the actual calculations. http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html#ffall

 

Assessment.

1)      Email complete solutions to the following problems to the instructor.

a)      What is the time it takes for a brick to drop from a height of 20 m above the ground? What is the final velocity before it hits the ground?

b)      The time it took an object to hit a ground was 2.5 sec. From what height was the object dropped?

2) Using the Internet link above, design a free falling problem. Trade and Email your problem to a classmate to solve. Submit the designed and solved problems to the instructor through email.

 

 

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