## Related questions with answers

For many years Colonel John P. Stapp, USAF, held the world’s land speed record. He participated in studying whether a jet pilot could survive emergency ejection. On March $19$, $1954$, he rode a rocket-propelled sled that moved down a track at $632$ mi/h. He and the sled were safely brought to rest in $1.40$ s. Determine (a) the negative acceleration he experienced and (b) the distance he traveled during this negative acceleration, assumed to be constant.

Solution

Verifieda)

The average acceleration is:

$\begin{align*} a_{avg}&=\frac{\Delta v}{\Delta t}\\ &=\frac{-632\frac{\,\text{mi}}{\,\text{h}}}{1.4\,\text{s}}\\ &=-451.43\frac{\,\text{mi}}{\,\text{h s}}\cdot \frac{1609\,\text{m}}{1\,\text{mi}}\cdot \frac{1\,\text{h}}{3600\,\text{s}}\\ &=\boxed{-201.76\frac{\,\text{m}}{\,\text{s}^2}} \end{align*}$

b)

In that time he traveled the distance:

$\begin{align*} s&=\frac{1}{2}at^2\\ &=\frac{1}{2}(201.76\frac{\,\text{m}}{\,\text{s}^2})(1.4\,\text{s})^2\\ &=\boxed{197.73\,\text{m}} \end{align*}$

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