Calculating the Final Velocity of a Thrown Ball

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SUMMARY

The discussion focuses on calculating the final velocity of a baseball thrown directly upward, which is caught after 3.2 seconds. The acceleration due to gravity is established as -9.8 m/s², and the initial velocity (Vi) is determined using the equation y(t) = y0 + vi * t + (0.5 * ay) * t². The final calculations yield an initial velocity of 31.36 m/s, which is necessary for the ball to return to the thrower's hand after the specified time. The participants emphasize the importance of correctly applying the quadratic equation and understanding the motion equations in projectile motion.

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  • Understanding of kinematic equations in physics
  • Familiarity with projectile motion concepts
  • Basic algebra and quadratic equations
  • Knowledge of acceleration due to gravity (9.8 m/s²)
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  • Study the derivation and application of the kinematic equation y(t) = y0 + vi * t + (0.5 * ay) * t²
  • Learn how to solve quadratic equations effectively
  • Explore the concept of average velocity and its application in projectile motion
  • Investigate the effects of air resistance on projectile motion
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Students studying physics, educators teaching kinematics, and anyone interested in understanding projectile motion and its calculations.

  • #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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