# The equations for free fall at the surfaces of Mars and Jupiter (s in meters, t in seconds) are s = 1.86t2 on Mars and s = 11.44t2 on Jupiter. How long does it take a rock falling from rest to reach a velocity of 27.8 m/ sec (about 100 km/h) on each planet?

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The equations for free fall at the surfaces of Mars and Jupiter (s in meters, t in seconds) are s = 1.86t2 on Mars and s = 11.44t2 on Jupiter. How long does it take a rock falling from rest to reach a velocity of 27.8 m/ sec (about 100 km/h) on each planet?

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Step 1

Consider the provided equation of free fall at the surfaces of Mars and Jupitar are shown below,

Step 2

Consider the equation of free fall at the surfaces of Mars and substitute s=27.8 m/sec.

Step 3

Answer: Therefore, the time taken by rock which is falling on the rest to velocity 27....

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