Ou are sitting in your car at rest at a traffic light with a bicyclist at rest next to you in the adjoining bicycle lane. as soon as the traffic light turns green, your car speeds up from rest to 49.0 mi/h with constant acceleration 7.00 mi/h/s and thereafter moves with a constant speed of 49.0 mi/h. at the same time, the cyclist speeds up from rest to 23.0 mi/h with constant acceleration 15.00 mi/h/s and thereafter moves with a constant speed of 23.0 mi/h.[hint: this is a great problem to use some graphs to you visualize what is going on. there are more than 2 important clock readings in this problem.] (a) for what time interval (in s) after the light turned green is the bicycle ahead of your car?

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

Using a pedometer, you walk 3000 steps in 20 minutes, so your speed is 150 steps/min. each of your steps is 0.7 m long. what is your speed? 150 steps/min=/s=/h

Aball has an initial velocity of 3 m/s. if there is no friction, what is the highest it could roll?