3. An astronaut on the Moon throws a baseball upward with an initial velocity of 12 meters per second letting go of the baseball 3 meters above the ground. The equation for the height of the baseball at time t is giver by h(t) = -0.8t² + 12t + 3. The same experiment is done on Earth, in which the height of the ball is modelec by the equation h(t) = -4.9t2 + 12t + 3. At what time does the baseball reach its greatest height on the Moon, with units? а. b. What is that height, with units? с. How much longer would the ball stay in the air on the Moon compared to the Earth?

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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.