Inclined Plane and soccer ball

AI Thread Summary
To solve the problem of a soccer ball rolling down an inclined plane, the initial velocity is zero, the time taken is 4.58 seconds, and the displacement is 10.8 meters. Using the formula for displacement, s = 1/2 a t^2, allows for the calculation of the ball's constant acceleration. After determining acceleration, the total time to reach the bottom of the incline can be calculated. The discussion emphasizes applying the given values and relevant physics formulas to find the answers. Understanding these relationships is crucial for solving the problem effectively.
luckii
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i think this is an easy question but i forgot how and the book doesn't want to tell me. can anyone tell me how to figure this out? thanks.

A soccer ball is released from the top of a smooth incline. After 4.58 s the ball travels 10.8 m. One second later it has reached the bottom of the incline.

(question 1)Assume the ball's acceleration is constant and determine its value ( m/s2).

(question 2)How long is the incline?
 
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what's the initial velocity?

how much time has elapsed?

what is the displacement of the ball?

That's three things you know. What formula relates these three things along with acceleration?
 
thats the only information included in the question.
 
luckii, if that didn't help you, try with
<br /> s = \frac{1}{2} a t^2<br />

then you should be fine with both questions...
good luck :)
 
luckii said:
thats the only information included in the question.
Yes, and I'm trying to get you to notice that the question gives you initial velocity (zero), time (4.58 s) and displacement (10.8 m).
 
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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