A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation F = F₀[ 1 - ((t - T)/T)² ] Where F₀ and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is:

Laws of Motion: JEE Main 2021 Physics question

JEE Main 2021 · 27 Jul, Evening shift · Q7587

JEE Main 202127 Jul, Evening shiftPhysicsMediumLaws of Motion70× since 2002

A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation

F = {F_0}\left[ {1 - {{\left( {{{t - T} \over T}} \right)}^2}} \right]

Where F₀ and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is :

JEE Main 2021 Laws of Motion Question with Solution (27 Jul Evening shift, Q7587) | JEE Arc

JEE Main 2021 · 27 Jul, Evening shift · Q7587

JEE Main 202127 Jul, Evening shiftPhysicsMediumLaws of Motion70× since 2002

A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation

F = {F_0}\left[ {1 - {{\left( {{{t - T} \over T}} \right)}^2}} \right]

Where F₀ and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is :