A Street Light Is Mounted at the Top of a 14 Feet Pole. a Man 6.5 Ft Tall Walks Away From the Pole a

This is a very interesting question, which I was attracted to because I did not know how to tackle it. A chance to do some original thinking, I thought.What is the situation after the expiry of the first second? The man has covered 4. 5 feet. Suppose the man's shadow to be x feet in length. The description of the situation is a right angled triangle with vertical side of 14 feet, and base of 4.5 feet plus x feet. The man forms a similar right angled triangle with his feet at ground level, the top of his head and the tip of his shadow. Therefore after the first second we can say:14/(4.5 x) = 6.5/x or 14x = 29.25 6.5x or x = 29.25/7.5 = 3.9.Define a general formula for this situationx = 6.5d/7.5, where x is the length of the shadow and d is the distance walked by the man. After the expiry of the 2nd second, therefore, d is 9 feet, which make the shadow length, x, 7.8 feet. After the expiry of the 3rd second, d becomes 13.5 feet and so shadow length is 11.7 feet. The table below summarises the results for subsequent seconds:Seconds Expired Distance Traveled by Man Shadow Length1 ......................... . 4. 5 .............................................. 3.92 .......................... 9.0 .............................................. 7. 83 .......................... 13.5 ............................................ 11.74 ......................... . 18. 0 ............................................ 15.65 .......................... 22.5 ........................................... . 19. 56 .......................... 27.0 ............................................. 23.47 ......................... . 31. 5 ............................................. 27.3It is clear that the shadow's length is accelerating at 3.9 ft/sec/sec. Letting Sa be the shadow's acceleration then we have:Sa = 3. 9 ft/sec/secIntegrating Sa with respect to time t and we get the velocity of the shadow's tip after time t. Put Sv as the shadow's velocity and soSv = 3.9t cThe constant of integration is zero because at time t = 0, the man was presumably stopped at the pole and so Sv would be zero, hence c is zero. The question then asks what is Sv when the man is 31 feet from the pole. This, of course, takes the man 31/4.5 seconds to complete and so Sv after this time isSv = 3.9(31/4.5) = 26.87 ft/sec (to 2 decimal places)

A Street Light Is Mounted at the Top of a 14 Feet Pole. a Man 6.5 Ft Tall Walks Away From the Pole a 1

1. Lightning and street light off at same time while walking.?

Lightning strikes do affect the electrical grids and can cause power outages of various lengths from instant to complete outage. If lightening hits a transformer, it usually burns out needs replacing.

2. I hate street light cameras?

sure they do. In my united states, many highway lights in roads that bring about substantial places are equipped with stepped forward secure practices cameras that may zoom in as much as a million km. i think of in addition they have them in the united kingdom

A Street Light Is Mounted at the Top of a 14 Feet Pole. a Man 6.5 Ft Tall Walks Away From the Pole a 2

3. How do i get a Street Light installed at my home?

if that does not work, hit somebody with your car and sue the city because of poor lighting and visibility. That will get one up real quick

4. how do the people in the government know if a street light has stopped working?

I'ts reported by one or the other of 2 citizens who give a D, and then it's put into the 'work schedule' and in about 6 to 8 months, it will finally be repaired

5. Why is there only 1 street light on Calle Vejar street in city of Rancho Cucamonga, California?

You know what I find hilarious about your question? I used to live in Cucamonga a long time ago. 2 streets that intersected if I recall....Before it was a Rancho, lol. Cucamonga means 'land of no people' now they've urbanized it ha ha! It used to be one apartment complex, sheep, rr tracks, excellant mom n pops grocer and barrio. Rancho Cucamonga what a hoot! You are lucky if the streets are even paved. Be thankful roflmao

6. Street Light Arrangement Method

Street lights are installed in order to provide a minimum lighting level along the roadway. Some municipalities or states or countries may have minimum lighting standards, but these often vary depending on the context (i.e. rural, urban, intersections).For certain situations, such as lighting for mid-block or pedestrian crossings, there may be additional requirements beyond merely lighting level. Putting the lights so they illuminate the front of a pedestrian in a crosswalk provides better visibility than placing the lights overhead or behind the pedestrians, so some newer standards may require lighting be placed accordingly so they are in front of the crosswalk on the approach legs to a crosswalk or intersection

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