Question

Imagine that two balls, a basketball and a much larger exercise ball, are dropped from a parking garage. If both the mass and radius of the exercise ball are 3 times larger than the mass and radius of the basketball, which of the two balls do you think will reach the ground first?

Answer 1

Here if we assume that there is no air friction on both balls then we can say

$F = mg$

now the acceleration is given as

$F = ma = mg$

$a = g$

so here both the balls will have same acceleration irrespective of size and mass

so we can say that to find out the time of fall of ball we can use

$y = \frac{1}{2}gt^2$

$t = \sqrt{\frac{2y}{g}}$

now from above equation we can say that time taken to hit the ground will be same for both balls and it is irrespective of its mass and size