a 100 m sprinter uniformly increases his speed from rest at the rate of 1m/s square how much gime does he take to complete the race what is his final speed
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Answer:
Time taken to complete the race = 5√2 s
Final speed = 10√2 m/s
Explanation:
Distance = s = 100 m
Initial speed = u = 0 m/s
Acceleration = a = 1 m/s²
Time taken = t
Final speed = v
v²-u² = 2as (Third equation of motion)
=> v²-0 = 2×1×100
=> v² = 200
=> v = √200
=> v = 10√2
s = v×t
=> t = s/v
=> t = 100/10√2
=> t = 10/√2
=> t = 5√2
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