Final answer:
Using the free fall formula, the height of the platform is calculated to be 7.139 meters by plugging in the time of 1.1 seconds and the acceleration due to gravity. However, this is not one of the provided options; the closest option given is 9.8 meters, but it should be noted this isn't the exact calculated value.
Step-by-step explanation:
The student's question involves calculating the height from which a ball falls from a platform above the ground and hits the ground 1.1 seconds later. We will use the physics concept of free fall to answer this question.
To find the height of the platform, we can use the formula for the distance traveled during free fall, which is derived from the equations of motion under constant acceleration:
height = (1/2) * g * t^2
where:
- g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth)
- t is the time in seconds the object is in free fall
Plugging in the values we have:
height = (1/2) * 9.8 m/s^2 * (1.1 s)^2
height = (1/2) * 9.8 m/s^2 * 1.21 s^2
height = 5.9 m/s^2 * 1.21 s^2
height = 7.139 m
Since this value is not one of the options provided, and we must choose the closest one, option B) 9.8 meters would be the best estimate among the given choices. However, none of the provided choices matches the calculated height exactly.