Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than $800$ m$/$s$2$ lasting for any length of time will not cause injury, whereas an acceleration greater than $1,000$ m$/$s$2$ lasting for at least $1$ ms will cause injury. Suppose a small child rolls off a bed that is $0\mathrm{.}55$ m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately $1\mathrm{.}7$ mm$.$ If the floor is carpeted, this stopping distance is increased to about $1\mathrm{.}4$ cm$.$ Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate.

hardwood floor magnitude m$/$s$2$

hardwood floor duration ms

carpeted floor magnitude m$/$s$2$

carpeted floor duration ms

Answer rating: 100% (QA)

Fall and Deceleration Analysis Heres the analysis for the deceleration of the childs head in both scenarios Given Height of fall h 055 m Hardwood stop... View the full answer