JEE Main Physics question
A particle of mass moves on the -axis as follows: it starts from rest at from the point and comes to rest at at the point . No other information is available about its motion at intermediate times (). If denotes the instantaneous acceleration of the particle, then
Answer: (A),(C)
Solution
Since but net displacement is , cannot stay positive throughout (velocity would then only increase from 0 and never return to 0) — (A) true. The "bang-bang" profile achieving the largest possible displacement for a given peak in unit time is a symmetric triangular
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