A nkcschools.instructure.com Near the surface of any planet, the distance D fallen by a rock in time t is given by D = ct(this is a consequence of Newton's 2nd law of gravitation). Here we will measure D in feet and t in seconds. (a) A rock is dropped from two different heights. It takes the rock 5 times as long to hit the ground from the taller height. How do the heights compare? The taller height is times as tall as the other. (b) On Venus, a rock dropped from 70 feet above the surface takes 2.2 seconds to strike the ground. What is the value of c for Venus? Round your answer to 2 decimal places. (c) Another rock is dropped on Venus. How far has it fallen after 4 seconds? Round your answer to 2 decimal places and include an appropriate label.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.