1The photo above was taken with the camera shutter open for

1.The photo above was taken with the camera shutter open for 1/20 sec. The distance between white stripes is 3 meters. The length of the blur is the distance the car traveled while the shutter was open.
a.Approximately how fast, in km/hr, was the car traveling?
b.Study the video at this link after you finish. Compare your reasoning in 1.a with the reasoning portrayed in the video.
c.What is your interpretation of the video’s moral, “all motion is blurry”? How are differentials of distance traveled and time traveled related to this moral?
2.Express the change in the car’s distance traveled in terms of differentials of numbers of km it traveled and numbers of hours it traveled.
3.Sketch a graph of the car’s distance traveled (in km) with respect to the time it traveled (in hours) during the time this photo was formed, given that the car had traveled 35.7 km up to the moment this photo was taken. How would the graph change had the car traveled 146.2 km up to the moment this photo was taken?”

Solution

1. (60*3/285) is the approximate distance travelled in 1/20 seconds
So, speed = 60*3*20/(285) =12.63 m/s

2. distance = velocity* time
distance = integrate(velocity* dt)

3. The graph is a linear line between distance and time , slope of which gives velocity. If the car had travelled more distance then the curve would have shifted above in y direction by (146.2-35.7) = 110.5 km