A falling object satisfies the initial value problem dv 9.8 | dt -(), v (0) = 0 where v is the velocity in meters per second. (a) Find the time, in seconds, that must elapse for the object to reach 95% of its limiting velocity. Round your answer to two decimal places. %3D (b) How far, in meters, does the object fall in that time? Round your answer to two decimal places.

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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.