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The tallest volcano in the solar system is the 23 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 23 km fall at a value of 3.5 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. Find the magnitude of the velocity with which the ball hits the crater floor. Answer in units of m/s.

Respuesta :

Answer:

3.62 seconds

12.67 m/s

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

[tex]s=ut+\frac{1}{2}at^2\\\Rightarrow 23=0t+\frac{1}{2}\times 3.5\times t^2\\\Rightarrow t=\sqrt{\frac{23\times 2}{3.5}}\\\Rightarrow t=3.62\ s[/tex]

Time taken by ball to reach the crater floor is 3.62 seconds

[tex]v=u+at\\\Rightarrow v=0+3.5\times 3.62\\\Rightarrow v=12.67\ m/s[/tex]

The velocity of the ball at the bottom of the crater is 12.67 m/s

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