Vehicle #1 skidded 150 feet and crashed into vehicle #2. Vehicle #2 was parked when vehicle #1 struck it, and test skids indicated that the coefficient of friction on this pavement was 0.80. It was further estimated that vehicle #1 was traveling at 40 mph at the moment it struck vehicle #2.
(1) What was the speed of vehicle #1 at the beginning of the skid marks?
(2) Assuming that the reaction time of the driver of vehicle #1 was 1.0 seconds and that he locked the wheels of vehicle #1 at the end of this time, how far was vehicle #1 from vehicle #2 at the point of perception?
(3) How far did vehicle #1 skid during the first 0.5 seconds of skidding?
(4) What was the speed of vehicle #1 after 1.0 seconds of skidding?
(5) If vehicle #1 finally came to a complete stop 20 feet past the point of collision, what was its rate of deceleration?
(6) How much time passed between the time of collision and vehicle #1 coming to a stop?