Question

A tallest vocano in the Solar System is the 24 km tall Martian volcano, Olympus Mons. Assume an astronaut drops a ball off the rim of the crater and that the free fall acceleration remains constant throughout the ball's 24 km fall at a value of 3.7m/s^2. Find (a) the time for the ball to reach the crater floor and (b) the velocity with which it hits.

Any assistance is great.

Answer 1

Use the same formulas that you would use on Earth, except use a = 3.7 m/s^2 instead of g = 9.8 m/s^2

H = (1/2) a t^2, so
t = sqrt(2H/a)
H = 24*10^3 m is the vertical drop

V(final) = sqrt (2 a H)

Answer 2

501.60

Answer 3

528