# Vacation Trouble....

Classical Mechanics Level 4

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