Galileo Galilei is said to have dropped cannonballs of different sizes from the Tower of Pisa to demonstrate that their speed is independent of their mass. The function h(t) = 189.77 – 16t2 models the height h (in feet) of the cannonball above the ground t seconds after it is dropped. Use the function h to find the average speed of the cannonball during the following time intervals. (a) The first 2 seconds ft/s (b) The first 3 seconds ft/s (c) Between t = 2 and t = 3.25 ft/s

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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.