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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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!