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Grade: 11
```
a series of city traffic signals is turned so that an automobile travelling at constant speed of 44 feet/sec. will reach signal just as it green. a motorist misses a signal and is stopped at signal A. the next signal B is 800 feet ahead and the maximum accleration of his automobile is 5 feet/sec2. determine what the motorist should do to keep his maximum speed as small as possible, yet reach signal B as it turns green ? Calculate the maximum speed.

```
6 years ago

## Answers : (1)

Arun Kumar
IIT Delhi
askIITians Faculty
256 Points
```							Speed he can keep as low as possible if he accelerates in starting and then keep a constant speed and covers the rest of distance.$(1/2)*5*t_{1}^2+(5*t_{1})t_{2}=800 \\=>t_{1}+t_{2}=800/44$$t_{1}=5.12,31.24$of which first is acceptable.Arun KumarIIT DelhiAskiitians Faculty
```
6 years ago
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