Question

free fall analysis questions (ra) l
all freely falling objects dropped from the same height reach the ground
○ with the same speed
○ with the same acceleration
○ in the same amount of time
○ all of the above

Explanation:

1. Acceleration in free fall: In the absence of air resistance, all freely - falling objects have an acceleration equal to the acceleration due to gravity ($g\approx9.8\ m/s^{2}$) near the Earth's surface. This is a constant value for all objects in free fall.
2. Time of fall: The time taken for an object to fall from a height $h$ in free fall is given by the formula $h = \frac{1}{2}gt^{2}$, which can be rearranged to $t=\sqrt{\frac{2h}{g}}$. Since $h$ (the height from which they are dropped) and $g$ (acceleration due to gravity) are the same for all objects dropped from the same height, the time taken to reach the ground is the same for all of them.
3. Final speed: The final speed $v$ of a freely - falling object is given by the formula $v = gt$ (from $v = u+gt$, where the initial velocity $u = 0$ for dropped objects). Since $g$ is the same for all objects and $t$ (the time of fall) is the same (as we just proved), the final speed $v$ will be the same for all objects dropped from the same height.

Since the objects have the same acceleration, reach the ground in the same time, and have the same final speed, the correct option is "all of the above".

Answer:

all of the above