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During filming, an IMAX camera uses 65-mm film at a rate of 5.6 ft/s.

a. At what rate per minute does the camera go through film?

b. How quickly does the camera use a 500-foot roll of 65-mm film? Round to the nearest second.

Answer :

Final answer:

The IMAX camera uses film at a rate of 336 feet per minute. A 500-foot roll of film would be exhausted in about 89 seconds.

Explanation:

The rate at which the IMAX camera uses film can be determined by simple conversions. First, let’s move from feet per second to feet per minute. Given that 1 minute contains 60 seconds, we can multiply 5.6 ft/s * 60 s/min = 336 ft/min. That's the answer to question (a).

For question (b), we ought to find out how long a 500-foot roll of film will last. Given that the camera uses film at a rate of 5.6 feet per second, we use the formula Time=Distance/Speed. Substitute 500 feet for Distance, and 5.6 ft/s for Speed. So Time = 500 ft / 5.6 ft/s ≈ 89.286 seconds. Rounded to the nearest second, our answer is 89 seconds.

Learn more about Conversion here:

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Answer:

a. To find the rate per minute, we need to convert the rate from feet per second to feet per minute:

5.6 ft/s * 60 s/min = 336 ft/min

Therefore, the camera goes through film at a rate of 336 feet per minute.

b. The camera uses 500 feet of film at a rate of 336 ft/min, so we can use the formula:

time = distance/rate

where the distance is 500 feet and the rate is 336 ft/min.

time = 500 ft / 336 ft/min

time ≈ 1.49 min

To convert minutes to seconds, we can multiply by 60:

1.49 min * 60 s/min ≈ 89.4 s

Therefore, the camera uses a 500-foot roll of 65-mm film in approximately 89 seconds.