Concept explainers
(a)
The time needed to reach the third stoplight.
To identify: Whether the car behind the first stoplight make it through all three lights without stopping.
(a)
Answer to Problem 76GP
The time needed to reach the third stoplight is
Explanation of Solution
Given:
The given situation is shown below.
The speed of the car behind the first stoplight is
Formula used:
The time is given by the formula
Calculation:
The time needed to cross the third stoplight is
The time needed to reach the third stoplight is
(b)
To identify: Whether the second car stopped at the first stoplight make it through all three lights without stopping.
(b)
Answer to Problem 76GP
No, the car cannot make it through all the three stoplights without stopping.
Explanation of Solution
Given:
The given situation is shown below.
The speed of the car behind the first stoplight is
Formula used:
Newton’s first and second equation of motion is
Calculation:
Using Newton’s first equation of motion, the duration of the acceleration is
Now, using this time duration in Newton’s second equation of motion to find the distance traveled by car is
The total time until all lights will be green is
The total distance covered by the car is
Conclusion:
Hence, the car cannot make it through all the three stoplights without stopping.
Chapter 2 Solutions
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