65. Consider the street pattern shown in Fig. 2–46. Each inter- section has a traffic signal, and the speed limit is 40 km/h. Suppose you are driving from the west at the speed limit. When you are 10.0 m from the first intersection, all the lights turn green. The lights are green for 13.0 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 2.00 m/s² to the speed limit. Can the second car make it through all three lights without stopping? By how many seconds would it make it, or not make it? West O East 0000 Speed limit 40 km/h Your 10 m 50 m 70 m car 15 m 15 m 15 m FIGURE 2-46 Problem 65.
65. Consider the street pattern shown in Fig. 2–46. Each inter- section has a traffic signal, and the speed limit is 40 km/h. Suppose you are driving from the west at the speed limit. When you are 10.0 m from the first intersection, all the lights turn green. The lights are green for 13.0 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 2.00 m/s² to the speed limit. Can the second car make it through all three lights without stopping? By how many seconds would it make it, or not make it? West O East 0000 Speed limit 40 km/h Your 10 m 50 m 70 m car 15 m 15 m 15 m FIGURE 2-46 Problem 65.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 7CQ
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Question
Transcribed Image Text:65. Consider the street pattern shown in Fig. 2–46. Each inter-
section has a traffic signal, and the speed limit is 40 km/h.
Suppose you are driving from the west at the speed limit.
When you are 10.0 m from the first intersection, all the lights
turn green. The lights are green for 13.0 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 2.00 m/s² to the speed limit.
Can the second car make it through all three lights without
stopping? By how many seconds would it make it, or not
make it?
West O
East
0000
Speed limit
40 km/h
Your
10 m
50 m
70 m
car
15 m
15 m
15 m
FIGURE 2-46 Problem 65.
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