Calculating the Distance of a Ball Kicked Off a Cliff

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A ball weighing 5kg is kicked off a 20-meter cliff, and the goal is to calculate the distance it travels. The gravitational acceleration is 9.80 m/s², and the final velocity (v(f)) is calculated to be 10 m/s, while the initial velocity (v(i)) is 0 m/s. The time of flight is determined to be approximately 2.019 seconds. There is confusion regarding the impulse value of 50 kg m/s, as it was not mentioned in the problem statement. The discussion highlights the need for clarity on the impulse and its relevance to the problem.
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Homework Statement



A ball weighing 5kg is kicked off a cliff with the height of 20 meters.
What is the distance the ball travels?

Known:

g (gravity) =9.80
I (impulse) = 50kg m/s
m (mass) =5kg
h (height) =20m

Unknown:

d=?

Homework Equations



?

The Attempt at a Solution



Found the v(f) which is 10 m/s.
Found the v(i) which is 0 m/s.
 
Last edited:
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t = square root of 2*20/9.81

t= 2.019 seconds
 
RiversAlone said:

Homework Statement



A ball weighing 5kg is kicked off a cliff with the height of 20 meters.
What is the distance the ball travels?

Known:

g (gravity) =9.80
I (impulse) = 50kg m/s
m (mass) =5kg
h (height) =20m
How do you know the impulse is 50 kg m/s? The problem statement did not say anything about impulse.

Unknown:

d=?

Homework Equations



?

The Attempt at a Solution



Found the v(f) which is 10 m/s.
Found the v(i) which is 0 m/s.
How did you get these?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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