Question

The tallest volcano in the solar system is the
29 km tall Martian volcano, Olympus Mons.
An astronaut drops a ball off the rim of the
crater and that the free fall acceleration of the
ball remains constant throughout the ball’s
29 km fall at a value of 4.1 m/s2. (We assume
that the crater is as deep as the volcano is tall,
which is not usually the case in nature.)
Find the time for the ball to reach the crater
floor.

Answer 1

y = yi + vi t + (1/2) a t^2
yi = 29*10^3
y = 0 at bottom
vi = 0
a = - 4.1
so
0 = 29*10^3 - 2.05 t^2
t = 119 seconds = about two minutes