Tom and Jerry relive!

Classical Mechanics Level 3

Tom , on seeing jerry at a distance \(d\), starts with velocity \(u\) and moves with acceleration \(\alpha\) in order to catch it . While jerry with acceleration \(\beta\) starts from rest. For what value of \(\beta\) will the tom overtake the jerry ?

\(\bullet\) \(\displaystyle d= 5\text{ m}\)
\(\bullet\) \(\displaystyle u= 5\text{ m/s}\)
\(\bullet\) \(\displaystyle \alpha= 2.5\text{ m/s}^2\)
\(\bullet\) \(\displaystyle g=10\text{ m/s}^2\)


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