A car is traveling at 60 feet per second when the driver spots a deer in the road 300 feet ahead and slams on the brakes. The following readings of the car's speed at various times are given in the table below. Time is measured in seconds (since the driver applied the brakes) and speeds are measured in feet per second. 0 2 4 6 7 Speed 60 50 30 12 0 Time (1) Give an estimate for the minimum distance the car will travel after the brakes are applied. Show your work. State any assumptions you are making. (2) Give an estimate for the maximum distance the car will travel after the brakes are applied. Show your work. (3) If the deer freezes and does not move, will the car hit the deer? Explain.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A car is traveling at 60 feet per second when the driver spots a deer in the road 300 feet ahead and slams on the brakes. The following readings of the car’s speed at various times are given in the table below. Time is measured in seconds (since the driver applied the brakes) and speeds are measured in feet per second.

| Time (s) | 0 | 2 | 4 | 6 | 7 |
|----------|---|---|---|---|---|
| Speed (ft/s) | 60 | 50 | 30 | 12 | 0 |

1. **Give an estimate for the minimum distance the car will travel after the brakes are applied. Show your work. State any assumptions you are making.**

2. **Give an estimate for the maximum distance the car will travel after the brakes are applied. Show your work.**

3. **If the deer freezes and does not move, will the car hit the deer? Explain.**
Transcribed Image Text:A car is traveling at 60 feet per second when the driver spots a deer in the road 300 feet ahead and slams on the brakes. The following readings of the car’s speed at various times are given in the table below. Time is measured in seconds (since the driver applied the brakes) and speeds are measured in feet per second. | Time (s) | 0 | 2 | 4 | 6 | 7 | |----------|---|---|---|---|---| | Speed (ft/s) | 60 | 50 | 30 | 12 | 0 | 1. **Give an estimate for the minimum distance the car will travel after the brakes are applied. Show your work. State any assumptions you are making.** 2. **Give an estimate for the maximum distance the car will travel after the brakes are applied. Show your work.** 3. **If the deer freezes and does not move, will the car hit the deer? Explain.**
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