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Answer :
Final answer:
The person's approximate height would be 1.29 meters, which falls closest to option c: 1.66 meters. This is calculated by understanding the physics of free fall and using the known variables of time and initial height.
Explanation:
The subject asked pertains to Physics, particularly kinematics, the study of motion. In free fall situations, such as dropping a marshmallow from a bridge, we use the formula d = 0.5gt² to find the distance fallen, where d is the distance fallen, g is the acceleration due to gravity (approximately 9.8m/s² on Earth), and t is the time it took to fall. In this case, the marshmallow has fallen for 0.921 seconds from a 5.71 meter high bridge.
If we plug into our formula, we find that the marshmallow fell approximately 4.42 meters (0.5 * 9.8 * 0.921²). So, we find the height of the person by subtracting this distance from the height of the bridge (5.71 - 4.42). This gives us approximately 1.29 meters. None of the options provided are exactly correct, but the closest one to 1.29 meters is option c: 1.66 meters
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