Consider the street pattern shown in Fig. 2–42. Each intersection has a traffic signal

Chapter 2, Problem 76GP

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QUESTION:

Consider the street pattern shown in Fig. 2–42. Each intersection has a traffic signal, and the speed limit is 50 km/h. Suppose you are driving from the west at the speed limit. When you are 10 m from the first intersection, all the lights turn green. The lights are green for 13 s each. (a) Calculate the time needed to reach the third stoplight. Can you make it through all three lights without stopping? (b) Another car was stopped at the first light when all the lights turned green. It can accelerate at the rate of 2.0 m/s2 to the speed limit. Can the second car make it through all three lights without stopping?

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QUESTION:

Consider the street pattern shown in Fig. 2–42. Each intersection has a traffic signal, and the speed limit is 50 km/h. Suppose you are driving from the west at the speed limit. When you are 10 m from the first intersection, all the lights turn green. The lights are green for 13 s each. (a) Calculate the time needed to reach the third stoplight. Can you make it through all three lights without stopping? (b) Another car was stopped at the first light when all the lights turned green. It can accelerate at the rate of 2.0 m/s2 to the speed limit. Can the second car make it through all three lights without stopping?

ANSWER:

Solution 76 GP

Step 1 of 4:

In this question, we need to find the time taken by third spotlight, we also need to check if one can make it through all three lights without stopping

In part b, we need to find if a car stopped at first light when all lights turned green can make it through all the three lights without stopping

Data given

Speed limit

                

                

Distance from light

Time green lights are on

Acceleration of car 2

Part a:

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