Basketball thrown straight up from the ground

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yashboi123
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Substandard Post Quality -- Please always type your work into the forum.
Homework Statement
Basketball thrown straight up from the ground, Vo = 5m/s, what equations correctly finds position y(t), velocity of the basketball vy(t), and acceleration
Relevant Equations
kinematic equations
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Would greatly appreciate an explanation on this question, not sure I even understand what they're asking.
 
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  • #2
I assume that the scribblings in red are your attempt at a solution.

They are giving you three equations, which are too blurred to read, and are asking you to find which one(s) correctly describe(s) the physical situation of throwing the ball straight up in the air.

You say that the relevant equations are "the kinematic equations." What are they and how would you adapt them to this particular situation? Please post the answers in a legible form, ideally using LaTeX. Click on the link "LaTeX Guide" (lower left) to learn how.
 
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1. What is the initial velocity of the basketball when it is thrown straight up from the ground?

The initial velocity of the basketball when it is thrown straight up from the ground is equal to the speed at which the basketball is thrown. This can vary depending on the strength and technique of the person throwing the ball.

2. How high will the basketball go when thrown straight up from the ground?

The maximum height that the basketball will reach when thrown straight up from the ground is determined by the initial velocity and the acceleration due to gravity. Using the equation h = (v2)/(2g), where h is the maximum height, v is the initial velocity, and g is the acceleration due to gravity (9.8 m/s2), we can calculate the height.

3. What happens to the basketball when it reaches its maximum height?

At the maximum height, the basketball's velocity will be zero. This means that the ball will momentarily stop moving before falling back to the ground due to the force of gravity. The ball will follow the same path back to the ground as it did when it was thrown up.

4. How long does it take for the basketball to reach its maximum height?

The time it takes for the basketball to reach its maximum height can be calculated using the equation t = v/g, where t is the time, v is the initial velocity, and g is the acceleration due to gravity. However, this only gives the time for the ball to reach its maximum height, not the total time it takes for the ball to return to the ground.

5. Can the basketball's trajectory be affected by external factors when thrown straight up from the ground?

Yes, the basketball's trajectory can be affected by external factors such as air resistance, wind, and spin. These factors can alter the ball's speed and direction, causing it to deviate from its expected path. The ball's trajectory can also be affected by the surface it bounces off of when it falls back to the ground.

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