Simple acceleration puzzle I with,I forgot how to do.

AI Thread Summary
The discussion focuses on deriving the expression for the acceleration of a steel ball released from a height above two markers, M1 and M2. The correct formula for acceleration is identified as 2h/(t2^2 - t1^2). The user initially attempts to use different equations for velocity and acceleration but struggles to arrive at the correct expression. They eventually solve the problem using the equation of motion, s = ut + (1/2)gt^2. The thread concludes with the user thanking others for their assistance in solving the puzzle.
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Homework Statement


Two markers M1 & M2're set up a vertical distance h apart.
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When a steel ball is released from rest from a pt a distance x above M1,it's found that the ball takes time t1 to reach M1 and time t2 to reach M2.
Which expression gives the acceleration of the ball?
A.Wrong,B.Wrong,C.Wrong,D.Correct - >\frac{2h}{t_{2}^2-t_{1}^2}
Was wondering how to get that expression,I've done it b4 but forgot I'm afraid,pls guide?


Homework Equations


Acceleration is the rate of change of velocity,ie (v-u)/t where v is final velocity,u is initial velocity,t is time taken for the change in velocity to occur.


The Attempt at a Solution



Well,I've \frac{h+x}{t_{2}} as v
\frac{x}{t_{1}} as u
So I do (v-u)/t but I get something far from what the correct answer is ie
\frac{t_{1}(h+x)-xt_{2}}{t_{2}t_{1}(t_{2}-t_{1})}
 
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Use

s = ut + \frac{1}{2}gt^2
 
Solved*!Tq for answering!
 
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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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