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A sprinter in a 100m race accelerates uniformly for the first 35m and then runs with constant velocity. If the sprinter's time for the first 35m is 5.4 seconds, determine his time for the race.
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Given:

u=0

t1=5.45

t2=?

speed=v=?

Solution:

(i) Acceleration motion:

v=u+at=5.4a(1)

also,

v2=u2+2as=2×a×35=70a(2)

put (1) in (2),

(5.4a)2=70aa=2.4m/s2

v=12.96m/s

(ii) Uniform velocity:

x=10035=65m;v=12.96m/st=xv=6512.96=5st=t1=t2=5.4+5=10.4s

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