The fastest time ever run at pikes peak is 7: 57. that’s way too long. if we removed all the curves, making a straight line from top to bottom, how quickly could a car reach the top?

-slope of 6.4%
-car has top speed 203 mph
a stock car has a peak acceleration of over 1g. assume this car will accelerate at an average of .091 g (2.93 ft/s2)
the 12.42 mile long pike’s peak course has over 156 turns

Define the meaning of the unalienable rights of life liberty and persuit of happiness

Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4â·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2ď€. we are used to viewing graphs from-ď€ to ď€. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue

An object in mechanical equilibrium is an object