Car accelerating at 0.076 m/s² over 9.97 km distance

[ashurina]

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?

 

[Villyer]

What have you tried so far?

 

[ashurina]

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