Calculations involving freefall

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SPH4UJS
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Homework Statement


A baseball pitcher throws a ball vertically upward and catches it at the same level 4.2s later

a) with what velocity did the pitcher throw the ball?

Homework Equations




The Attempt at a Solution



I put this into givens

t = 4.2 s
displacement = 0 m if the ball goes up and then comes back at the same level I figured it has a displacement of 0

acceleration = -9.81 m/s

Vf = 0 m/s since it goes up then reaches a climax and it was already thrown with an initial velocity that you are trying to find

so I decided to use the vf = vi + a(t)

so.. then I rearranged it so that it was

vf - ( a ) ( t ) = vi

which gave me

-(-9.81)(4.2) = vi

and then I got 41.2 but that's not the right answer :S so I am not sure if its just that I am using a wrong equation or that I have the wrong givens I don't know exactly what I am doing wrong please point me in the right direction.
 
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SPH4UJS said:

Homework Statement


A baseball pitcher throws a ball vertically upward and catches it at the same level 4.2s later

a) with what velocity did the pitcher throw the ball?

Homework Equations




The Attempt at a Solution



I put this into givens

t = 4.2 s
displacement = 0 m if the ball goes up and then comes back at the same level I figured it has a displacement of 0

acceleration = -9.81 m/s

Vf = 0 m/s since it goes up then reaches a climax and it was already thrown with an initial velocity that you are trying to find

so I decided to use the vf = vi + a(t)

so.. then I rearranged it so that it was

vf - ( a ) ( t ) = vi

which gave me

-(-9.81)(4.2) = vi

and then I got 41.2 but that's not the right answer :S so I am not sure if its just that I am using a wrong equation or that I have the wrong givens I don't know exactly what I am doing wrong please point me in the right direction.

With y representing the vertical direction you might want to take a look at

[tex]y = y_o + v_o t + \frac{1}{2} a t^2[/tex]
 
Remember that your using vf as 0 which is at its climax. The time you used is for the total time (up and down) not just the time to get to the climax.
 
Last edited:
Alright I got the answer thank you very much. Also I have a test tommorow on this whole kinematics unit and so far I know ab out half what would be my best bet? Should I just keep doing questions until I know them all and asking for help if I can't figure it out myself? I really want to do well as I did so poorly on the quiz :S.
 
SPH4UJS said:
Alright I got the answer thank you very much. Also I have a test tommorow on this whole kinematics unit and so far I know ab out half what would be my best bet? Should I just keep doing questions until I know them all and asking for help if I can't figure it out myself? I really want to do well as I did so poorly on the quiz :S.

50 years of experience has taught me that the best bet is NOT to put off studying until the night before the exam!
 
AEM said:
50 years of experience has taught me that the best bet is NOT to put off studying until the night before the exam!

Yeah, it's not the best thing to do :s but I have no idea where my priorities are well..that and my time management skills I have put off doing physics homework until today :S. Hopefully all my questions can be answered on the forums by tomorrow. Its just I feel that I don't have the trained mindset for physics just yet, and actually not learning kinematics scares me for what's to come especially since I want to be an engineer. Btw thank you very much for your help as well as Imperitor.