A particle moves so that its displacement is metres

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

Problem

A particle moves so that its displacement is s(t)=ekt2s(t)=e^{k t^{2}} metres. If its acceleration at t=0t=0 is 10 m s−210\,\text{m s}^{-2}, the value of kk is (a) 1010 (b) 55 (c) 2.52.5 (d) 2020

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