An object is traveling in a linear path. In the following table, you have times, t, in seconds and velocities, v, in meters/second for this object over its first 30 second period. a. Draw a velocity vs. time graph representing the information in this table. b. Set up the exact calculation for Simpson’s Rule describing how far the object has traveled in the first 30 seconds. c. Use your expression for Simpson’s Rule in part b and your calculator to approximate an answer to how the object traveled in the first 30 seconds, accurate to the nearest meter.

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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.