Quick Question about throwing a ball vertically

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In summary, the initial velocity of the ball when thrown vertically upward will be equal to the final velocity of the arm at the moment of release. However, due to the compressibility of the ball, there may be a transfer of energy from the arm to the ball during acceleration and deceleration. Further experimentation with a balloon may help to understand this transfer of energy.
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iBill
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If I were to throw a ball vertically upward, would the initial velocity of the ball be the same as the final velocity of my arm?
 
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  • #2
if by final you mean the second the ball leaves your hand, yes
 
  • #3
Trevormbarker said:
if by final you mean the second the ball leaves your hand, yes

Yes that is what I meant, thx.
 
  • #4
Maybe not so simple - a ball is compressible - so as you accelerate the ball you will compress the ball's side nearest your hand. As the ball leaves your hand your arm must have been decelerating - or presumably the ball wouldn't have left your hand. The question is what happened to the energy you used to compress the ball on acceleration - did it give a kick to the ball which was decompressing on launch or was it already recovered somewhere in your arm motion before the ball left your hand? I don't know :( Try with a softly inflated balloon to see if you can see or feel what happens on release.
 
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  • #5


No, the initial velocity of the ball would not be the same as the final velocity of your arm. This is because when you throw a ball, the initial velocity of the ball is determined by the force and angle of your throw, while the final velocity of your arm is determined by the force and angle of your arm's movement. Additionally, the ball will experience air resistance and gravity, causing its velocity to change as it travels upward. The final velocity of the ball will also be affected by these forces as it falls back down. Therefore, the initial and final velocities of the ball and your arm will be different.
 

FAQ: Quick Question about throwing a ball vertically

What is the equation for the vertical motion of a thrown ball?

The equation for the vertical motion of a thrown ball is y = y0 + v0*t - 1/2*g*t^2, where y is the vertical displacement, y0 is the initial height, v0 is the initial velocity, g is the acceleration due to gravity, and t is the time.

How does the initial velocity affect the vertical motion of a thrown ball?

The initial velocity determines the speed at which the ball is thrown and therefore affects the maximum height and range of the ball's trajectory. The greater the initial velocity, the higher and farther the ball will travel.

How does the acceleration due to gravity affect the vertical motion of a thrown ball?

The acceleration due to gravity is a constant force that pulls the ball towards the ground. This force causes the ball to accelerate downwards and eventually reach its maximum height before falling back to the ground.

What factors can affect the trajectory of a thrown ball?

The trajectory of a thrown ball can be affected by factors such as air resistance, wind speed and direction, and the angle at which the ball is thrown. These factors can alter the ball's speed and direction, resulting in a different trajectory.

What is the highest point of a thrown ball's trajectory called?

The highest point of a thrown ball's trajectory is called the maximum height or apex. This is the point where the ball stops moving upwards and begins to fall back to the ground due to the force of gravity.

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