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15. The position of a particle moving along x-axisgiven "by χ = (-2t3 +3t2 + 5) m. Theacceleration of particle at the instant its velocitybecomes zero is

Answer» <p>x = -2t³+3t²+5 dx/dt = v = -6t²+6t = 0</p><p>so, the time when v is 0,6t(1-t) = 0 =&gt; t = 0 or 1 sec </p><p>and acceleration is dv/dt = -12t+6 </p><p>so, value of a at t = 0 is = 6m/s²and when t = 1 is t = -6m/s²</p>


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