A sprinter running straight reaches a constant speed v in $2$ seconds from rest with constant acceleration. He then maintains that speed until he feels that he needs to further accelerate to win the race. At this moment, he starts speeding up at a constant rate until he reaches the finish line at a speed of $12\mathrm{.}2$ m$/$s$.$ If the $2$nd accelerating portion of his race takes $2$ second an d he finishes the race of $100$ m in a total of $9\mathrm{.}6$ seconds, determine the constant speed,$\mathrm{}$ v $,$ starting from $2$ seconds into the race.

 

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Lets break down the sprinters race into different segments and use the information provided to deter... View the full answer