Final answer:
The elevator will ascend 296 feet in 10 seconds when ascending at a rate of 29.6 feet per second, making option a) the correct answer.
Step-by-step explanation:
If an elevator ascends at a rate of 29.6 feet per second, we can calculate how far it will ascend in 10 seconds by multiplying the rate of ascent by the time. This is simply a matter of applying the formula for distance where distance equals rate times time (d = rt).
The calculation would be as follows:
- Rate of ascent: 29.6 feet per second
- Time: 10 seconds
- Distance ascended: 29.6 feet/second * 10 seconds = 296 feet
An elevator ascending at a rate of 29.6 feet per second will cover a distance of 29.6 feet in 1 second. Therefore, in 10 seconds, the elevator will ascend:
29.6 feet/second * 10 seconds = 296 feet
So, the correct answer is a) 296 feet.
Therefore, the elevator will ascend 296 feet in 10 seconds, which corresponds to option a).