question 9\nchoose the best answer from the options that follow each question.\nthe displacement of an…

question 9\nchoose the best answer from the options that follow each question.\nthe displacement of an object undergoing free - fall from rest is proportional to\nquestion 10\nwhich would fall with greater acceleration in a vacuum - a leaf or a stone?

question 9\nchoose the best answer from the options that follow each question.\nthe displacement of an object undergoing free - fall from rest is proportional to\nquestion 10\nwhich would fall with greater acceleration in a vacuum - a leaf or a stone?

Answer

Explanation:

Question 9:

The formula for the displacement of an object in free - fall from rest is $s = \frac{1}{2}gt^{2}$, where $s$ is the displacement, $g$ is the acceleration due to gravity and $t$ is the time. So the displacement is proportional to $t^{2}$.

Question 10:

In a vacuum, there is no air - resistance. According to Newton's second law $F = ma$ and the gravitational force $F=mg$, the acceleration $a = g$ for all objects near the Earth's surface, regardless of their mass or shape. So a leaf and a stone would fall with the same acceleration.

Answer:

Question 9: $t^{2}$ Question 10: They would accelerate at the same rate.