Brain injuries generally occur any time the brain's acceleration reaches 100 g for even a short time. Consider a car running into a solid barrier. With an airbag, the driver's head moves through a distance of 20 cmwhile the airbag stops it. Without an airbag, the head continues forward until the seatbelt stops the torso, causing the head to stop in a distance of only 5.0 cm.
Part A Find the maximum speed with which the car can strike the barrier without causing brain injury, using an airbag.
Part B Find the maximum speed with which the car can strike the barrier without causing brain injury, without using an airbag.