Physiological Effects of High Acceleration: Investigating with a Rocket Train

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SUMMARY

The discussion focuses on the physiological effects of high acceleration using a rocket-driven sled that reaches speeds of 1000 miles per hour in 1.8 seconds. The acceleration is calculated using the formula v_{x} = v_{x}_{0} + a_{x}t, with time converted to SI units. To compare the sled's acceleration to gravitational acceleration (g), the sled's acceleration is divided by g. Additionally, the distance traveled during this time is determined using the equation x = x_{0} + v_{x}_{0}t + \frac{1}{2}a_{x}t^{2}.

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A rocket-driven sled running on a straight level track is used to investigate the physiological effects of large acceleration on humans. One such sled can attain a speed of 1000 miles/hr in 1.8 sec starting from rest. (a) Assume the acceleration is constant and compare it t o g . (b) What is the distance traveled in this time? For (a) would I use [itex]v_{x} = v_{x}_{0} + a_{x}t[/itex]? THe time would be [itex]t = \frac{1.8}{3600}[/itex] hours? Also what does it mean to compare it with g? For the second part I would just use [itex]x = x_{0} + v_{x}_{0}t + \frac{1}{2}a_{x}t^{2}[/itex]


Any help is appreciated
 
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Don't forget to convert to SI units. The formulas you're suggesting are correct. To compare the acceleration to g is simple; divide the acceleration by g to get how many times it's greater than g.
 

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