Physiological Effects of High Acceleration: Investigating with a Rocket Train

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A rocket-driven sled is utilized to study the physiological effects of high acceleration on humans, achieving speeds of 1000 miles per hour in just 1.8 seconds. To analyze the acceleration, it is necessary to convert the speed to SI units and calculate the acceleration using the formula v = v0 + at. Comparing the sled's acceleration to gravitational acceleration (g) involves dividing the sled's acceleration by g to determine how many times greater it is. The distance traveled during this time can be calculated using the formula x = x0 + v0t + 0.5at². Accurate calculations and unit conversions are essential for the investigation.
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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 v_{x} = v_{x}_{0} + a_{x}t? THe time would be t = \frac{1.8}{3600} hours? Also what does it mean to compare it with g? For the second part I would just use x = x_{0} + v_{x}_{0}t + \frac{1}{2}a_{x}t^{2}


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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