(Solved): Dr. John Paul Stapp was a U.S. Air Force officer who studied the effects of extreme acceleration o ...

Dr. John Paul Stapp was a U.S. Air Force officer who studied the effects of extreme acceleration on the human body. On December 10, 1954, Stapp rode a rocket sled, accelerating from rest to a top speed of 282 \( \mathrm{m} / \mathrm{s}(1015 \mathrm{~km} / \mathrm{h}) \) in \( 5.8 \mathrm{~s} \) and was brought jarringly back to rest in only \( 1 \mathrm{~s} \). Calculate his (a) magnitude of acceleration in his direction of motion and (b) magnitude of acceleration opposite to his direction of motion. Express each in multiples of \( g\left(9.80 \mathrm{~m} / \mathrm{s}^{2}\right) \) by taking its ratio to the acceleration of gravity. a. \( \quad g \) b. \( \quad g \) A particle has a constant acceleration of \( 3 \mathrm{~m} / \mathrm{s}^{2} \). a. If its initial velocity is \( 0.5 \mathrm{~m} / \mathrm{s} \), at what time is its displacement \( 5.0 \mathrm{~m} \) ? S b. What is its velocity at that time? \[ \mathrm{m} / \mathrm{s} \]