A car initially going 50 ft/sec brakes at a constant rate (constant negative acceleration), coming to a stop in 6 seconds. Graph the velocity from t = 0 to t = 6, and use your graph to answer the following questions. How far does the car travel? _____feet How far does the car travel if its initial velocity is doubled, but it brakes at the same constant rate? _____feet How many times farther did the car travel in the second scenario compared to the first?

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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.