Calculating the Final Velocity of a Thrown Ball

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Homework Help Overview

The problem involves a boy throwing a baseball directly upward and catching it 3.2 seconds later, focusing on calculating the final velocity of the ball. The subject area includes kinematics and the equations of motion under constant acceleration due to gravity.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of the equation a=Δv/Δt and question the initial conditions, such as whether the initial velocity is zero. There are considerations about the direction of acceleration due to gravity and its effect on the calculations. Some participants suggest using the equation for vertical position as a function of time to derive the initial velocity.

Discussion Status

The discussion is ongoing, with participants exploring different equations and approaches to find the initial velocity needed for the ball to return after 3.2 seconds. Some guidance has been provided regarding the use of quadratic equations and the importance of correctly applying the terms in the equations.

Contextual Notes

Participants are navigating the constraints of the problem, including the need to account for the ball's return to the same height and the implications of the acceleration being negative when considering upward motion. There is also a mention of potential confusion regarding the application of the quadratic formula.

  • #31
Medgirl314 said:
Great, thanks! The equation I used, or a different one?

The distance versus time equation that I re-summarized in post #25...
 
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  • #32
Okay, I see it now. Thanks! I'll post my answer soon.
 
  • #33
y(t)=y0+viy∗t+(0.5∗ay)∗t2
y(3.2s)=0+0*3.2+(0.5)(-9.8y)*10.24
y(3.2s)=3.2s+(0.5)(9.8y)*10.24sIs that right so far? What's next?
 
  • #34
Medgirl314 said:
y(t)=y0+viy∗t+(0.5∗ay)∗t2
y(3.2s)=0+0*3.2+(0.5)(-9.8y)*10.24
y(3.2s)=3.2s+(0.5)(9.8y)*10.24s


Is that right so far? What's next?

I have no idea what you wrote. Could you please narrate what you are trying to do?
 
  • #35
I'm not really sure. I was trying to plug in everything I know into the equation from post #25. It went horribbly wrong.
 

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