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 acceleration, 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 12.8 km/h with an acceleration of 31.5 m/s2 . Let the +? direction point in the direction the car is traveling. What is the severity index for the collision?
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