The stoplights on a street are designed to keep traffic moving at 34 mi/h. The average length of a street block between traffic lights is about 80 m.

What must be the time delay between green lights on successive blocks to keep the traffic moving continuously? There are 1.609 × 103 m in a mile.
Answer in units of s.

See previous post: Thu, 8-20-15, 4:47 PM.

8.5

To solve this problem, we need to convert the given speed from miles per hour (mi/h) to meters per second (m/s) since the length between traffic lights is provided in meters.

First, let's convert the speed from mi/h to m/s:
34 mi/h * (1.609 × 10^3 m/1 mi) * (1 h/3600 s) = 15.21 m/s

Next, we need to calculate the time it takes for a vehicle to travel one block:
Time = Distance/Speed
Time = 80 m / 15.21 m/s ≈ 5.25 s

Therefore, to keep traffic moving continuously, there should be a time delay of approximately 5.25 seconds between green lights on successive blocks.

To determine the time delay between green lights on successive blocks, we need to first convert the given speed from miles per hour to meters per second.

1 mile = 1.609 × 10^3 meters
1 hour = 3600 seconds

So, the speed of 34 miles per hour can be converted as follows:
34 mi/h * (1.609 × 10^3 m/1 mi) * (1 h/3600 s) = 15.24 m/s

Now, we need to calculate the time it takes for a vehicle to travel one block, which is 80 meters, at a speed of 15.24 meters per second.

Time = Distance / Speed

Time = 80 m / 15.24 m/s
Time ≈ 5.25 seconds

Therefore, the time delay between green lights on successive blocks should be approximately 5.25 seconds.