The tallest volcano in the solar system is the 34 km tall Martian volcano, Olymp

Question

The tallest volcano in the solar system is the 34 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 34 km fall at a value of 4.1 in/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 in units of s Find the magnitude of the velocity with which the ball hits the crater floor. Answer in units of m/s

Explanation / Answer

a = -4.1 m/s2

Vinitial = 0 m/sec     Freefall

distance = 34 km = 34000 meters you MUST convert the units

Step 1 - Find time of acceleration

d = v0t + 1/2at2

34000 = 0(t) +1/2(-4.1)t2

34000/2.05 = t2

t = 128.78 seconds

Step 2 - Use time to find final velocity

Vfinal = Vinitial + a(t)

Vfinal = 0 + (4.1)(128.78)

Vfinal = 528.01 meters/sec

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