Show My Work (Optional) [-/5.92 Points] DETAILS CRAUDCOLALG5 5.2.EX.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER It is a consequence of Newton's law of gravitation that near the surface of any planet, the distance D fallen by a rock in time t is given by D = ct . That is, distance fallen is proportional to the square of the time, no matter what planet one may be on. But the value of c depends on the mass of the planet. For Earth, if time is measured in seconds and distance in feet, the value of c is 16. (a) Suppose a rock is falling near the surface of a planet. What is the comparison in distance fallen from 2 seconds to 4 seconds into the drop? (Hint: This question may be rephrased as follows: "If time increases by a factor of 2, by what factor will distance increase?") The distance fallen increases by a factor of from 2 seconds to 4 seconds into the drop. (b) For objects falling near the surface of Mars, if time is measured in seconds and distance in feet, the value of c is 6.4. If a rock is dropped from 60 feet above the surface of Mars, how long will it take for the rock to strike the ground? (Round your answer to two decimal places. ) t = sec (c) On Venus, a rock dropped from 83 feet above the surface takes 2.4 seconds to strike the ground. What is the value of c for Venus? (Round your answer to two decimal places.) C = Additional Materials eBook