Question

The tallest volcano in the solar system is the 19 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 19 km fall at a value of 3.7 m/s 2 . (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 in units of s

Answer 1

101.34 s.

Step-by-step explanation:

Distance travelled ( s ) = 19 km = 19 000 m

acceleration( a ) = 3.7 m s⁻²

Initial velocity (u) = 0

Time is t

Using the equation of motion

s =ut + .5 a t²

19000 = 0 + .5 x 3.7 t²

t =
`\sqrt{(19000)/(0.5*3.7) }`

t = 101.34 s