An object falls freely from rest on a planet where the acceleration due to gravity is twice as much as on Earth. In the first 5 seconds it falls a distance of
A)100 m.
B)150 m.
C)250 m.
D)500 m.
E)none of the above

Question

Quizplus · Accepted Answer

The formula to calculate the distance an object falls under gravity is $d = \frac{1}{2}gt^2$, where $g$ is the acceleration due to gravity and $t$ is the time in seconds. On Earth, $g = 9.8 \, m/s^2$, but on this planet, $g$ is twice that, so $g = 19.6 \, m/s^2$. Plugging in the values, $d = \frac{1}{2} \times 19.6 \times 5^2 = 245 \, m$, which is closest to option C, 250 m.

An Object Falls Freely from Rest on a Planet Where