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In asian games for 100 m event an athlete accelerates uniformly from the start to his maximum velocity in a distance of 4m & runs the remaining distance with that velocity.

If the athlete finishes the race in 10.4sec, determine: (i) his initial acceleration; (ii) his maximum velocity.

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Let t1 be time in which athlete achieves max. Velocity & let t2 be the remaining time

Let v be the maximum velocity achieved bt athlete & a be his acceleration

So,t1+t2=10.4____(i)

Also for uniformly acc. Motion , we get

$4= (1/2)*a*(t1)^2 \text {____}(ii) \space\space\&\space\space v=a*(t1) …

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