(Solved): During the late 1940 's, Colonel John Paul Stapp was a pioneer in studying the effects of accelerat ...

During the late 1940 's, Colonel John Paul Stapp was a pioneer in studying the effects of acceleration and deceleration on the human body. He made multiple runs strapped to a rocket sled that quickly accelerated him to high speeds along a straight track (see figure). His research led to improvements in restraining harnesses and seatbelts for pilots and automobile occupants. During his final run, he reached a maximum speed of \( 632 \mathrm{mph} \). When the sled's braking system brought it to rest, Colonel Stapp experienced a deceleration of magnitude \( 46.28 \). or \( 46.2 \) times the acceleration of gravity at the Earth's surface. Although he survived, he did sustain injuries, such as a fractured wrist, broken ribs, and bleeding in his eyes. Calculate how long it took to bring the rocket sled to rest. Assume the deceleration was constant during the braking period.