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 = a a5/21. In the expression, t is the duration of the accleration, t. 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 17.5 km/h with an acceleration of 30.5 m/s². Let the +x direction point in the direction the car is traveling. What is the severity index for the collision? SI = 2.71 How far d does the person travel during the collision if the car was initially moving forward at 4.60 km/h?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
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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 = a5¹2t. 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 17.5 km/h with an acceleration of 30.5 m/s². Let the
+x direction point in the direction the car is traveling. What is the severity index for the collision?
SI =
2.71
How far d does the person travel during the collision if the car was initially moving forward at 4.60 km/h?
m
d =
Transcribed Image Text: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 = a5¹2t. 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 17.5 km/h with an acceleration of 30.5 m/s². Let the +x direction point in the direction the car is traveling. What is the severity index for the collision? SI = 2.71 How far d does the person travel during the collision if the car was initially moving forward at 4.60 km/h? m d =
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