Solving Soccer Ball Kinematics: Max Height & Vertical Velocity

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AI Thread Summary
To solve the soccer ball kinematics problem, the vertical component of the initial velocity can be calculated using the equation Viy = 25 m/s * sin(40 degrees). For maximum height, the correct approach involves using the formula dy = (Viy^2) / (2g), where g is the acceleration due to gravity. The maximum height occurs when the vertical velocity reaches zero, confirming that at this point, the ball is at its peak. A sketch of the ball's trajectory should illustrate a parabolic path, starting from the initial position, reaching the maximum height, and returning to the ground. Understanding these concepts will aid in completing the homework effectively.
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someone please help me with my homework !

Homework Statement



A kicked soccer ball has an initial velocity of 25 meters per second at an angle of 40 degrees above the horizontal level ground [neglect friction]

A)calculate the magnitude of the vertical component of the balls initial velocity

b) calculate the maximum height of the ball reaches above its initial speed

c) sketch the balls height from the its initial position at point p until it returns to level ground

Homework Equations



A) Viy sin 40 degrees

B) dy= vytrise is this the correct equation?

c) I am not sure how i can sketch it yet

The Attempt at a Solution



im confused with the 2nd problem how can i find maximum height if somoene can explain to me that wll help a lot ^-^
 
Last edited:
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At the maximum height, the instantaneous vertical velocity of the ball must be zero.
 
so the vertical velocity is zero?
 

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