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A point mass is shot vertically up from ground level with a velocity of $4$ m/s at time, $t=0$. It loses $20 \%$ of its impact velocity after each collision with the ground. Assuming that the acceleration due to gravity is $10 \: m/s^2$ and that air resistance is negligible, the mass stops  bouncing and comes to complete rest on the ground after a total time (in seconds) of

  1. $1$
  2. $2$
  3. $4$
  4. $\infty$
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