11) A brake company is testing their brakes. When the brakes are pressed fully, it creates a deceleration of a(t) = –25 ft/sec² for a car under normal road conditions. If a car is traveling 100 ft/sec, how far will it travel while braking to a stop under normal road conditions? Show your work to find v(t) and s(t) 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.