Very large accelerations can injure the body, especially if they last for a considerable length of...

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 12.8 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?

Find SI:

How far ? does the person travel during the collision if the car was initially moving forward at 5.40 km/h ?

d = (in meters)

Please clearly mark the solution. Please take a clear picture (if taking a photo). Please write legibly (if handwriting). Please make sure the answers are CORRECT.

Solutions

Expert Solution

# Severity index (SI) for the collision is 2.09.

## During the collision, the person will travel distance, d = 0.3706 meters.

genius_generous answered 1 year ago

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