Chapter 2, Problem 86RPP

BIO Head injuries in sports A research group at Dartmouth College has developed a Head Impact Telemetry (HIT) System that can be used to collect data about head accelerations during impacts on the playing field. The researchers observed 249,613 impacts from 423 football players at nine colleges and high schools and collected collision data from participants in other sports. The accelerations during moast head impacts (> 89%) in helmeted sports caused head accelerations less than a magnitude of 400 m/s². However, a total of 11 concussions were diagnosed in players whose impacts caused accelerations between 600 and 1800 m/s², with most of the 11 over 1000 m/s².

Suppose that the magnitude of the head velocity change was 10 m/s. which time interval for the collision would be closest to producing a possible concussion with an acceleration of 1000 m/s²?

a. 1s

b. 0.1 s

c. 10^-2s

d. 10^-3s

e. 10^-4s