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As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is variable. For the following exercises, use the following table, which contains the acceleration measured at every second as a driver merges onto a freeway.
Time (sec) | Acceleration (mph/sec) |
1 | 11.2 |
2 | 10.6 |
3 | 8.1 |
4 | 5.4 |
5 | 0 |
250. [T] Using your acceleration equation from the previous exercise, find the corresponding velocity equation. Assuming the final velocity is 0 mph, find the velocity at time t = 0.
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