posted by Aaron .
A sleepy man drives a car along a straight section of highway at a constant speed of 89.6 km/h. His eyes begin to close, and his car moves at an angle of 4.90° relative to the road. For how long can his attention lapse before the car begins to move across the lane divider, originally 1.09 m from the side of the car?
The transverse velocity component is
89.6 sin4.9 = 7.653 km/h = 2.126 m/s
He will hit the lane diver after
t = 1.09/2.126 = 0.51 seconds