Physics help Speed/ Acceleration question

AI Thread Summary
A man driving at 1.71 m/s encounters a slow driver and accelerates at 0.076 m/s² over a distance of 9.97 km. Using the formula V = √[Vi² + 2ax], he calculates his final speed after acceleration. The calculation results in a final speed of 38.97 m/s. The problem was challenging but ultimately solvable.
ashurina
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While driving from a city, a man gets stuck at 1.71 m/s behind a slow driver. He finally gets a passing lane, hits the gas and speeds up with a constant acceleration of 0.076 m/s^2 what is his speed in (m/s) after accelerating for 9.97 km?
 
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What have you tried so far?
 
I figured it out finally, this was a tough one but i got it

V = √[Vi² + 2ax] = √[1.71² + 2*.076*9970] = 38.97 m/s
 
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