Stopping Distance When the driver of a vehicle observesan impediment, the total stopping distance involves boththe reaction distance (the distance the vehicle travels whilethe driver moves his or her foot to the brake pedal) and thebraking distance (the distance the vehicle travels once thebrakes are applied). For a car traveling at a speed of v milesper hour, the reaction distance R, in feet, can be estimatedby R1v2 = 2.2v. Suppose that the braking distance B, infeet, for a car is given by B1v2 = 0.05v2 + 0.4v - 15.(a) Find the stopping distance functionD1v2 = R1v2 + B1v2. (b) Find the stopping distance if the car is traveling at aspeed of 60 mph.(c) Interpret D1602.

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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.