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 ( SI ), defined as SI=a5/2t . In the expression, t is the duration of the accleration, but a is not equal to the acceleration. Rather, a is a dimensionless constant that equals the number of multiples of g that the acceleration is equal to. In one set of studies of rear-end collisions, a person's velocity increases by 16.6 km/h with an acceleration of 33.0 m/s2 . Let the +x direction point in the direction the car is traveling. What is the severity index for the collision? SI = ? How far d does the person travel during the collision if the car was initially moving forward at 5.20 km/h? d = ? m

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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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 ( SI ), defined as SI=a5/2t . In the expression, t is the duration of the accleration, but a is not equal to the acceleration. Rather, a is a dimensionless constant that equals the number of multiples of g that the acceleration is equal to.

In one set of studies of rear-end collisions, a person's velocity increases by 16.6 km/h with an acceleration of 33.0 m/s2 . Let the +x direction point in the direction the car is traveling. What is the severity index for the collision?

SI = ?

How far d does the person travel during the collision if the car was initially moving forward at 5.20 km/h?

d = ? m

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