Van travels over the hill described by y=(-1.5(1/1000)x^2 + 15)ft

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The discussion revolves around calculating the x and y components of velocity and acceleration for a van traveling over a hill described by the equation y=(-1.5(1/1000)x^2 + 15) ft at x=50 ft. The initial calculations for the y-component of velocity (Vy) were found to be negative, which led to confusion, as the van's constant speed is 75 ft/s. Participants clarified that the slope of the hill affects the direction of velocity components, and the correct angles and projections were discussed to resolve the signs and magnitudes of the components. Ultimately, the correct values were determined to be Ax = -2.42 ft/s² and Ay = -16.14 ft/s², emphasizing the importance of maintaining proper units and significant figures in calculations. The thread highlights the collaborative effort to troubleshoot and refine the solution to the problem.
  • #51
Always maintain four significant digits throughout all your intermediate calculations, then round only the final answer to three significant digits, unless the first significant digit of the final answer is 1, in which case round the final answer to four significant digits. You rounded your angle value too much. Try that one more time.
 
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  • #52


I'll keep that in mind, but it accepted the answer. Thanks for sticking with me, I can be slow sometimes, I really appreciate it and I do think I learned from this, which is always a good thing.
 
  • #53
Nice work, vanquish. The correct answer is ax = -2.42 ft/s^2, and ay = -16.14 ft/s^2. You were close in your numeric values. And you have the correct signs. But your units are currently incorrect. They did that on http://en.wikipedia.org/wiki/Mars_Climate_Orbiter#The_metric.2Fimperial_mix-up" and lost 328 million USD in a matter of minutes, when it crashed into Mars.
 
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