Investigators find a blue car, that caused an accident, left a skid mark 143 feet long before it hit another car (red). Damage to the blue car reveals that when it was skidding it was moving at a rate of 30 mph the moment it hit the red car. Answer the following: a. Calculate and explain the skid length of the blue car after it hit the red car. b. Based on the length of the total skid of the blue car, calculate and explain how fast it was going when the skidding began. **Show algebraic proof for both scenarios.