An object's speed, in meters per hour, is increasing at a rate of 1,490 meters per hour per second. Which of the following is closest to this rate in feet per second squared? (Use 1 meter = 3.28 feet.)

A. 0.126
B. 1.36
C. 7.57
D. 81.5

The acceleration of the object in feet per second squared is approximately 1.36 ft/s². Based on the calculation made, the correct choice is B. 1.36.
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Answered by Anonymous | 2025-07-03

To convert the acceleration from meters per hour per second to feet per second squared, we need to go through a few steps:

Convert meters per hour to meters per second:

The acceleration is given as 1,490 meters per hour per second.

Since there are 3,600 seconds in an hour, we convert meters per hour to meters per second:
1 hour 1 , 490 meters ​ × 3 , 600 seconds 1 hour ​ = 3 , 600 1 , 490 ​ meters per second

This simplifies to approximately:
0.414 meters per second squared



Convert meters per second squared to feet per second squared:

Now that we have the acceleration in meters per second squared, we can convert to feet using the conversion factor, where 1 meter = 3.28 feet:
0.414 meters per second squared × 3.28 feet/meter = 1.358 feet per second squared



Round off and select the closest multiple-choice option:

The value 1.358 feet per second squared is closest to 1.36.



Therefore, the answer is option B: 1.36.

Answered by danjohnbrain | 2025-07-06