Rocky is out on a vacation. He hires a taxi to go sightseeing. The taxi driver was driving on a speed of 36 m/s when he sees an obstacle 1000 m away. He applies brakes as soon as he sees the obstacle producing a deceleration of \(x\) m/s\(^2\). What should be the value of \(x\) so that he stops 100 m before colliding with the obstacle after 10 s?
Details and Assumptions
Answer up-to 3 decimal places