Football question (kinematics)

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SUMMARY

The discussion centers on calculating the initial velocity and time taken for a football kicked from a height of 2.0 m to reach a maximum height of 8.0 m. The key variables include a change in height (Δx) of 6.0 m, a final velocity (vf) of 0 m/s at maximum height, and an acceleration (a) of -9.8 m/s² due to gravity. By applying the kinematic equations, specifically the "big four" equations of motion, the initial velocity can be determined effectively.

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  • Knowledge of gravitational acceleration (-9.8 m/s²)
  • Familiarity with concepts of initial and final velocity
  • Ability to calculate change in height (Δx)
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Homework Statement



A foot ball is kicked from a height of 2.0 m to a maximum height of 8.0m. Calculate the football's initial velocity and the time taken to reach the maximum height.

Homework Equations


The Attempt at a Solution



I could solve it if i was given time, acceleration or vf or v i but only two variables are given and that too of the same. Can someone help me. I could assume vi is 0, but i have no idea how to approach this
 
Last edited:
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If this is a one-dimensional free-fall problem , then this is how you solve it:

Your Δx is 6
Final velocity is given to you: Since it says maximum height, at that height your final velocity will be 0.
Most importantly, your acceleration will be -9.8 m/s^2 since once the football is in the air, gravity is the only force acting on it.

With those given data, just go to your big four, and voila! :)
 
Ahh i see, yea now it makes sense. Thanks a lot!
 

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