In: Physics
Very large accelerations can injure the body, especially if they last for a considerable length of time. One model used to gauge the likelihood of injury is the severity index ( ?? ), defined as ??=?5/2? . In the expression, ? is the duration of the accleration, but ? is not equal to the acceleration. Rather, ? is a dimensionless constant that equals the number of multiples of ? that the acceleration is equal to. In one set of studies of rear-end collisions, a person's velocity increases by 12.5 km/h with an acceleration of 35.5 m/s2 . Let the +? direction point in the direction the car is traveling. What is the severity index for the collision? ??= How far ? does the person travel during the collision if the car was initially moving forward at 5.70 km/h ? ?= m